| 单词 | prime number |
| 例句 | The closer we got to school, the more nervous I became, so I started counting prime numbers in my head again. The Lions of Little Rock 2012-01-01T00:00:00Z I need the luck of a prime number. The Miscalculations of Lightning Girl 2018-05-01T00:00:00Z I mean, I wasn’t sick or anything, but I was standing perfectly still, frozen as a Popsicle, counting prime numbers in my head. The Lions of Little Rock 2012-01-01T00:00:00Z Three: my good old friends the prime numbers. The Lions of Little Rock 2012-01-01T00:00:00Z But I have decided to give my chapters prime numbers 2, 3, 5, 7,11, 13 and so on because I like prime numbers. The Curious Incident of the Dog in the Night-Time 2003-05-01T00:00:00Z It is extremely unlikely that any natural physical process could transmit radio messages containing prime numbers only. Cosmos 1980-01-01T00:00:00Z I started counting prime numbers again: 2, 3, 5, 7, 11... The Lions of Little Rock 2012-01-01T00:00:00Z If a number is really, really big, it can take a computer years to work out whether it is a prime number. The Curious Incident of the Dog in the Night-Time 2003-05-01T00:00:00Z If we received such a message we would deduce a civilization out there that was at least fond of prime numbers. Cosmos 1980-01-01T00:00:00Z I showed her the pages I had written so far, with the diagram of the universe and the map of the street and the prime numbers. The Curious Incident of the Dog in the Night-Time 2003-05-01T00:00:00Z It took reciting all twenty-five prime numbers under one hundred, but I didn’t get angry. The Lions of Little Rock 2012-01-01T00:00:00Z It’s harder than you’d think to find clothes with prime numbers in them. The Miscalculations of Lightning Girl 2018-05-01T00:00:00Z Even reciting prime numbers didn’t calm me down. The Lions of Little Rock 2012-01-01T00:00:00Z There might even be a sliding scale, with perfect numbers selling at a premium and prime numbers going for more than nonperfect composite numbers, etc. Innumeracy: Mathematical Illiteracy and Its Consequences 1988-01-01T00:00:00Z The numbers that are left are the prime numbers. The Curious Incident of the Dog in the Night-Time 2003-05-01T00:00:00Z She looked intrigued, which was new, because Katie usually walks around with this distracted expression on her face, like she’s busy figuring the square root of the prime number closest to the gross national product. Liar, Liar 2011-01-01T00:00:00Z For example, the first ten prime numbers—numbers divisible only by themselves and by one—are 1, 2, 3, 5, 7, 11,13, 17,19, 23. Cosmos 1980-01-01T00:00:00Z Numbers flowed through my head, prime numbers, times tables, pi to as many digits as I knew. The Lions of Little Rock 2012-01-01T00:00:00Z And I hadn’t even counted prime numbers first. The Lions of Little Rock 2012-01-01T00:00:00Z As we become fluent readers we file away in memory tens of thousands of common word pairs, such as horse race, hunt ducks, cotton clothing, fat people, prime number, old man, and data point. The Sense of Style 2014-09-04T00:00:00Z He recited the prime numbers between a thousand and ten thousand. I, Robot 1950-12-02T00:00:00Z There’s a prime number in the title, and the words best friend. The Miscalculations of Lightning Girl 2018-05-01T00:00:00Z I consider this my lucky shirt because it has a prime number of stripes: 17. The Miscalculations of Lightning Girl 2018-05-01T00:00:00Z A prime number is a number that can only be divided by itself and one. The Lions of Little Rock 2012-01-01T00:00:00Z This is how you work out what prime numbers are. The Curious Incident of the Dog in the Night-Time 2003-05-01T00:00:00Z I know all the countries of the world and their capital cities and every prime number up to 7,057. The Curious Incident of the Dog in the Night-Time 2003-05-01T00:00:00Z I counted prime numbers in my head until I realized she wasn’t going to ask me anything else. The Lions of Little Rock 2012-01-01T00:00:00Z “I don’t even know the prime numbers. And if you tell me to count to ten before I speak like my mother always does, I will scream.” The Lions of Little Rock 2012-01-01T00:00:00Z With every number I count off, the fresh, simple prime numbers and all the other never-ending numbers spiral into their own shapes. The brain injury that made me a math genius 2014-04-20T19:00:00Z I thoroughly enjoyed the show, but it was definitely thinking-cap theater, involving long monologues about the fascinations of prime numbers, jokey allusions to string theory and more. It?s Been a Gloomy Summer on New York Stages 2010-07-28T17:57:00Z “Curious Incident” depicts Christopher as a mathematical genius with a fondness of prime numbers, a distaste for the colors yellow and brown, and a visceral aversion to physical contact. Review | ‘Curious Incident of the Dog in the Night-Time’ is up to some new and mesmerizing tricks 2019-11-26T05:00:00Z She disrupts her fifth-grade class, gets kicked off the school bus and bugs most everyone around with her obsession with homonyms and prime numbers. Homonyms, hurricanes and Asperger's in Ann M. Martin's 'Rain Reign' 2014-11-07T05:00:00Z Anna has a kooky streak — prominently figuring in that profile was a mention of her love for polynomials and prime numbers — and tends to take the reins of the conversation. ‘The Blind Date Project’ Brings a Web Meeting to Life 2015-01-09T05:00:00Z Eleven: an odd number, a prime number and, for a space the size of the St. Mark’s Church sanctuary, a big number. Tere O’Connor’s ‘Bleed’ at Danspace Project 2014-12-19T05:00:00Z Christopher Boone, aged 15, knows "all the countries of the world and their capital cities and every prime number up to 7,507." Book Club with Mark Haddon 2013-03-01T12:12:07Z He mentally works through a “beautiful little theorem about prime numbers,” attributed to Fermat. Books of The Times: ‘Why Does the World Exist?’ by Jim Holt 2012-08-02T18:37:46Z When I’m napping on the sofa, my daughter, Megan, sometimes wakes me up because I’m reciting prime numbers in my sleep. The brain injury that made me a math genius 2014-04-20T19:00:00Z The bottom of the front page of Monday’s A-section directed us to an article on Page 11 — a prime number. Style Invitational Week 1249: Ask Backwards 36 — we answer, you question 2017-10-12T04:00:00Z The next week, also on Facebook Live, Victoria Noquez — math professor by day, conjurer by night — performed sociable card tricks and Sudoku variations, with occasional riffs on prime number theory. Is the Hand Quicker Than the Zoom Window? 2020-05-15T04:00:00Z The opening movement exploits the mathematics of two prime numbers to create a sense of destabilised time. The Rest is Noise festival: what's your favourite piece of 20th-century music? 2012-11-29T20:00:02Z They are prime numbers, he muses, divisible only by the number one and by themselves, and the author elaborates the thought in a fashion that is both elegant abstraction and profound human portrayal. Books of The Times: Paolo Giordano?s ?Solitude of Prime Numbers?: Scarred Souls 2010-03-11T22:53:00Z Do they become rarer with increasing size, like the prime numbers, or do they always appear with about the same frequency? All Natural Numbers Are Either Happy or Sad. Some Are Narcissistic, Too 2023-10-24T04:00:00Z Across two tests, including the prime number trials, the June GPT-4 answers were much less verbose than the March ones. Yes, AI Models Can Get Worse over Time 2023-08-02T04:00:00Z As is common in number theory, the conjecture deals with prime numbers that exactly divide a given number—what mathematicians call prime divisors. $1 Million Will Go to the Mathematician Who Busts the ‘ABC Conjecture’ Theory 2023-07-28T04:00:00Z If the number is odd, add the smallest prime number not yet added. What Number Comes Next? The Encyclopedia of Integer Sequences Knows. 2023-05-21T04:00:00Z After all, it is neither a prime number nor a power of 2 nor a square number. The Most Boring Number in the World Is ... 2023-03-03T05:00:00Z "Of course by today's standards it is pretty basic," says Pierrot, who spends her normal time thinking about quantum physics and massive prime numbers. Charles V: French scientists decode 500-year-old letter 2022-11-26T05:00:00Z Such a change might have been intended to prevent the model from sharing undesirable information but inadvertently ended up reducing the AI’s chattiness on the topic of prime numbers. Yes, AI Models Can Get Worse over Time 2023-08-02T04:00:00Z Any number can be represented as a product of prime numbers—for instance, 15 = 3 x 5 or 324 = 22 x 34. $1 Million Will Go to the Mathematician Who Busts the ‘ABC Conjecture’ Theory 2023-07-28T04:00:00Z Even though, maybe, I work on a question in number theory about something like prime numbers, I use tools from across mathematics, from probability, from geometry. Why 2 Is the Best Number and Other Secrets from a MacArthur-Winning Mathematician 2022-11-22T05:00:00Z As it turns out, interesting band includes about 95.2 percent of all square numbers and 99.7 percent of prime numbers, as well as 39 percent of numbers with many prime factors. The Most Boring Number in the World Is ... 2023-03-03T05:00:00Z But if it checks out, it will go some way towards taming the randomness of prime numbers, whole numbers that cannot be divided evenly by any number except themselves or 1. Mathematician Who Solved Prime-Number Riddle Claims New Breakthrough 2022-11-15T05:00:00Z This raises the possibility of cracking encryption codes used to secure much of today’s Internet traffic, which are based on large prime numbers. AlphaFold Developers Win $3-Million Breakthrough Prize in Life Sciences 2022-09-22T04:00:00Z A prime number is a counting number greater than 1 whose only factors are 1 and itself. Intermediate Algebra 2020-05-06T00:00:00Z Two is my favorite number, so it’s definitely my favorite prime number. Why 2 Is the Best Number and Other Secrets from a MacArthur-Winning Mathematician 2022-11-22T05:00:00Z This is because such numbers allow prime numbers to be studied, which is why they appear in many different contexts. The Most Boring Number in the World Is ... 2023-03-03T05:00:00Z Solving either the Riemann or Landau-Siegel problems would mean that the distribution of prime numbers does not have huge statistical fluctuations. Mathematician Who Solved Prime-Number Riddle Claims New Breakthrough 2022-11-15T05:00:00Z What is the probability of rolling a prime number of dots with a fair, six-sided die numbered one through six? Introductory Statistics 2013-09-19T00:00:00Z Otherwise it is easy to lose track of the prime numbers. Intermediate Algebra 2020-05-06T00:00:00Z When this happens, a good idea is to factor the numerator and the denominator into prime numbers. Elementary Algebra 2020-04-22T00:00:00Z So the split into interesting and boring numbers seems to stem from the judgments we make, such as attaching importance to prime numbers. The Most Boring Number in the World Is ... 2023-03-03T05:00:00Z He then took up a teaching position at the University of New Hampshire in Durham, where he quietly chiselled away at his passion, the statistical properties of prime numbers. Mathematician Who Solved Prime-Number Riddle Claims New Breakthrough 2022-11-15T05:00:00Z James Maynard has worked on a conjecture for years: For any pair of prime numbers separated by 2, there will always be a larger pair. Your Wednesday Briefing 2022-07-05T04:00:00Z And it’ll be no surprise when an AI arrives that knows Barack Obama isn’t a prime number, and even more of us start crying consciousness. Opinion | Is AI sentient? Wrong question. 2022-06-14T04:00:00Z The prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17, and 19. Elementary Algebra 2020-04-22T00:00:00Z In current public-key systems, the public key is a gigantic number that is the product of two factors, both prime numbers. Worried quantum computers will supercharge hacking, White House calls for encryption shift 2022-05-05T04:00:00Z The problem Zhang now says he has solved dates back to the turn of the twentieth century, when mathematicians were exploring ways to tame the randomness of prime numbers. Mathematician Who Solved Prime-Number Riddle Claims New Breakthrough 2022-11-15T05:00:00Z After an initial transmission of a prime number to mark the message as artificial, Jiang’s message uses the same alien alphabet to introduce our base-10 numeral system and basic mathematics. Researchers Made a New Message for Extraterrestrials 2022-03-30T04:00:00Z “One hundred one is a prime number, as we say in mathematics,” James said with a chuckle. Labeled a mutineer during WWII, this 101-year-old Black soldier went on to the stars 2022-02-10T05:00:00Z The composite number can now be written as a product of prime numbers. Elementary Algebra 2020-04-22T00:00:00Z People say things like “math doesn’t take sides” and “people lie, numbers don’t” with a straight face, and Gaal is constantly reciting prime numbers in order to relax. Apple’s Foundation starts out big, lavish, and a little boring 2021-09-23T04:00:00Z “Resolving any of these issues would be a major advancement in our understanding of the distribution of prime numbers.” Mathematician Who Solved Prime-Number Riddle Claims New Breakthrough 2022-11-15T05:00:00Z But scientists still debate why this particular brood of North American cicadas only emerges every 17 years, which, intriguingly, is a prime number. Galileo and the Pope Who Loved Cicadas 2021-07-09T04:00:00Z It’s possible they emerge en masse on a prime number–year to help avoid predation and guarantee survival. Marching to the Beat of the 17-Year Cicada Clock 2021-06-14T04:00:00Z Notice that the only even prime number is 2. Elementary Algebra 2020-04-22T00:00:00Z Note, too, that there are patterns that calculate the prime numbers or that even display graphic images of decimal digits of π = 3.14159... one after the other. For Math Fans: Some Puzzles from Game of Life Creator John Conway 2021-04-28T04:00:00Z Current encryption relies on the products of large prime numbers. 2 Win Abel Prize for Work That Bridged Math and Computer Science 2021-03-17T04:00:00Z “One code might be prime numbers and that son would open gifts in order: 1, 3, 5, 7, while another’s would be Roman numerals: I, II, III . . . ” she wrote. Perspective | Christmas comes but once a year. Christmas traditions come in infinite flavors. 2020-12-22T05:00:00Z His statistical productivity is close to his prime numbers. Perspective | Tampa Bay is having a sports moment, and Tom Brady’s Buccaneers are worthy of it 2020-10-19T04:00:00Z What is the difference between prime numbers and composite numbers? Elementary Algebra 2020-04-22T00:00:00Z These numbers are extremely rare, much more so than prime numbers: only 14 of the former are lower than one billion. For Math Fans: A Hitchhiker’s Guide to the Number 42 2020-09-21T04:00:00Z Glaz composed phrases to represent each prime number and combined them as dictated by each number’s factorization, using “for” for exponentiation and “in” for multiplication. Prime Factorization as Verse 2020-05-03T04:00:00Z Any integer can be factored into prime numbers, its ‘divisors’: for example, 60 = 5 x 3 x 2 x 2. Mathematical proof that rocked number theory to be published 2020-04-02T04:00:00Z They showed that the set of prime numbers contains arithmetic progressions — sequences that contain constant intervals, such as the two steps between each of 3, 5 and 7 — of arbitrary length3. Mathematics pioneers who found order in chaos win Abel prize 2020-03-17T04:00:00Z If needed, factor the numerator and denominator into prime numbers first. Elementary Algebra 2020-04-22T00:00:00Z Wright, by contrast, wonders if humanity’s mathematical practices, such as our attachment to prime numbers, might prove to be idiosyncratic. Intelligent Ways to Search for Extraterrestrials 2019-10-03T04:00:00Z In an article she wrote for the 2011 Bridges Math-Art conference, she shares several poems about or inspired by prime numbers. Prime Factorization as Verse 2020-05-03T04:00:00Z Chen, a prodigious talent, spent a lifetime working on Goldbach’s conjecture — the still unsolved theory that every even integer greater than two is the sum of two prime numbers. The Chinese Academy of Sciences at 70 2019-09-30T04:00:00Z The vast majority of mathematicians will assert as objective fact that there is no largest prime number, that pi is irrational, and that every differentiable function is continuous. Is Mathematics, Like Science, Pluralistic? 2019-09-15T04:00:00Z He divides the result by the public key, a gigantic number produced by multiplying two prime numbers, and sends Alice the remainder. Cryptographers scramble to protect the internet from hackers with quantum computers 2019-08-21T04:00:00Z The existence of prime numbers and elemental hydrogen: no problem. How we know they have faces 2019-07-23T04:00:00Z Euclid’s proof starts with a finite list of prime numbers and describes a way to generate a prime that is not on the list. A Curious Sequence of Prime Numbers 2019-05-26T04:00:00Z Other sets of numbers, such as prime numbers and rational numbers, are also countable because with a little ingenuity they can be listed. The Unknowability of the Number Line 2019-01-12T05:00:00Z A few weeks ago, a computer owned by Patrick Laroche of Ocala, Florida discovered a mathematical treasure, a new largest known prime number. How to Memorize the Largest Known Prime 2018-12-30T05:00:00Z For example, multiplying two large prime numbers is easy, but finding the prime factors of a given product is hard — it can take a conventional computer many years to solve. Quantum computers put blockchain security at risk 2018-11-18T05:00:00Z Instead of trying to answer a question about just the set of prime numbers, what happens if we open the door and let the 2-almost primes in too? What Is an "Almost Prime" Number? 2018-11-03T04:00:00Z I am drawn to adorable and amusing math, so I hope the Euclid-Mullin sequence contains all prime numbers. A Curious Sequence of Prime Numbers 2019-05-26T04:00:00Z It was on the Riemann hypothesis – an unsolved theorem about the distribution of prime numbers – and though we’ve just been discussing how exhausted she is after a 14-hour day, her eyes light up. ‘I spent seven years fighting to survive’: Chelsea Manning on whistleblowing and WikiLeaks 2018-10-07T04:00:00Z Though I did not write that article about this particular largest known prime number, I did write it about a previous largest known prime numbers, and M82589933 is yet another verse of the same song. How to Memorize the Largest Known Prime 2018-12-30T05:00:00Z A famous mathematician today claimed he has solved the Riemann hypothesis, a problem relating to the distribution of prime numbers that has stood unsolved for nearly 160 years. Skepticism surrounds renowned mathematician’s attempted proof of 160-year-old hypothesis 2018-09-24T04:00:00Z In 2004, Ben Green and Terence Tao proved that yes, there are primes in arbitrarily long arithmetic progressions, and they did this by relaxing the restriction that they were only looking at prime numbers. What Is an "Almost Prime" Number? 2018-11-03T04:00:00Z But hey, the silver lining would be that we might actually gain some insight into prime numbers as a result! A Curious Sequence of Prime Numbers 2019-05-26T04:00:00Z “That was such an important book to me! I’m obsessed with prime numbers.” ‘I spent seven years fighting to survive’: Chelsea Manning on whistleblowing and WikiLeaks 2018-10-07T04:00:00Z Today, I want to help you experience this new prime number viscerally by memorizing it. How to Memorize the Largest Known Prime 2018-12-30T05:00:00Z It is a supposition about prime numbers, like two, three, five, seven, and 11, which can only be divided by one or themselves. Skepticism surrounds renowned mathematician’s attempted proof of 160-year-old hypothesis 2018-09-24T04:00:00Z More recently, 31-almost primes made an appearance in work related to the twin prime conjecture and questions about the prevalence of other tuples of prime numbers. What Is an "Almost Prime" Number? 2018-11-03T04:00:00Z Mathematicians usually use the letter p when they’re talking about prime numbers, and for the rest of the post, we’ll just assume p is prime. The Numbers Behind a Fields Medalist's Math 2018-09-03T04:00:00Z Most of Scholze’s work has connections to ‘p-adic fields’, exotic extensions of the ordinary number system that are useful tools for studying prime numbers. Number-Theory Prodigy Among Winners of Most Coveted Prize in Mathematics 2018-08-01T04:00:00Z Most of Scholze’s work has connections to ‘p-adic fields’, exotic extensions of the ordinary number system that are useful tools for studying prime numbers. Number-theory prodigy among winners of most coveted prize in mathematics 2018-07-31T04:00:00Z As a physicist, I was aware that the zeros of the zeta function describe the distribution of the prime numbers. Summer reads: Darwin’s dilemma on sexual selection, ecology versus empire, and the dark side of the greater good 2018-07-17T04:00:00Z A prime number is a number that has exactly two distinct divisors: itself and 1. Ken Ribet's Favorite Theorem 2018-07-15T04:00:00Z A prime number discovery in December was made in the unlikeliest of places: on a church computer in a Memphis suburb. How a Church Deacon Found the Biggest Prime Number Yet (It Wasn’t as Hard as You Think) 2018-01-26T05:00:00Z A prime number can’t be divided by anything other than 1 and itself. The largest known prime number has emerged. It has more than 23 million digits. 2018-01-12T05:00:00Z But for mathematicians, the latest discovery from a global gang of enthusiasts is a thing of beauty: the largest prime number ever found. Largest prime number discovered – with more than 23m digits 2018-01-04T05:00:00Z Take the twin primes conjecture, which states that there are infinitely many prime numbers that differ by only 2, like 3 and 5, or 11 and 13. Do You Know Your ABCs? 2018-01-01T05:00:00Z Math sharpies will notice that 823 is a prime number, which is like being one of the cool kids in class. Five Fridays, five Saturdays and five Sundays — is this month a marvel? 2017-12-29T05:00:00Z The background software running on the computer unearthed a rare kind of prime number called a Mersenne prime. How a Church Deacon Found the Biggest Prime Number Yet (It Wasn’t as Hard as You Think) 2018-01-26T05:00:00Z If you started counting at 1, you’d encounter prime numbers relatively frequently at first. The largest known prime number has emerged. It has more than 23 million digits. 2018-01-12T05:00:00Z Like any prime number, a Mersenne prime is divisible only by itself and one, but is derived by multiplying twos together over and over before taking away one. Largest prime number discovered – with more than 23m digits 2018-01-04T05:00:00Z Specifically, they often focus on the distribution of prime numbers. Household Chores for Mathematicians 2017-10-21T04:00:00Z What would America’s abortion policy be if the number of months in the gestation of a human infant were a prime number — say, seven or eleven? Opinion | Democrats are the real abortion extremists 2017-10-18T04:00:00Z “On average, they are finding less than one a year. The odds of one of my computers making a prime number discovery are astronomical.” How a Church Deacon Found the Biggest Prime Number Yet (It Wasn’t as Hard as You Think) 2018-01-26T05:00:00Z Pace started hunting for primes 14 years ago, when there was a cash reward for finding a prime number with more than 10 million digits. The largest known prime number has emerged. It has more than 23 million digits. 2018-01-12T05:00:00Z He compares prime numbers to diamonds, with small ones finding uses in encryption and other applications, but large ones being more like showpieces. Largest prime number discovered – with more than 23m digits 2018-01-04T05:00:00Z But what about the set of just the even numbers, or just the prime numbers? Mathematicians Measure Infinities, and Find They're Equal 2017-09-16T04:00:00Z The treatise contains 13 separate books, covering everything from plane geometry, the Pythagorean theorem, golden ratio, prime numbers, and quite a bit more. One of the world’s most influential math texts is getting a beautiful, minimalist edition 2017-09-02T04:00:00Z A prime number is not divisible by any positive integer except 1 and itself. How a Church Deacon Found the Biggest Prime Number Yet (It Wasn’t as Hard as You Think) 2018-01-26T05:00:00Z Furthermore, Drake reasoned, if they have multiplication and division, then they are likely to understand the concept of prime numbers — the group of numbers that are divisible only by themselves and one. Greetings, E.T. (Please Don’t Murder Us.) 2017-06-28T04:00:00Z Take a very large prime number - one that's not divisible by anything other than itself. Geeks v government: The battle over public key cryptography - BBC News 2017-04-23T04:00:00Z It’s also an “emirp,” the term for a prime number that remains prime when its digits are reversed, as in ninety-seven. A Mathematician Confronts March Madness 2017-03-15T04:00:00Z It is also a testament to the persuasive power of friendship, unfolding over several months in the context of prime numbers and polyhedron sculptures. Equations and Inequalities: Math, Race and Fellowship 2017-02-17T05:00:00Z Some prime numbers are named after Marin Mersenne, a French theologian and mathematician who studied them in the early 17th century. How a Church Deacon Found the Biggest Prime Number Yet (It Wasn’t as Hard as You Think) 2018-01-26T05:00:00Z But what if one of those zebras suddenly turns toward you and with its hooves starts scratching out the prime numbers. Greetings, E.T. (Please Don’t Murder Us.) 2017-06-28T04:00:00Z Edouard Lucas, who in the 19th century made important advances in our understanding of prime numbers, wrote a book of puzzles for the general reader and also invented a few classic problems. Use your wits! Can you solve these fiendishly difficult puzzles? 2016-11-09T05:00:00Z Mathematically, seventy-nine is a prime number, divisible only by one and itself. A Mathematician Confronts March Madness 2017-03-15T04:00:00Z The number 5, for example, when viewed among the natural, or counting, numbers is one of those elemental creatures: a prime number, divisible only by 1 and itself. Eugenia Cheng Makes Math a Piece of Cake 2016-05-02T04:00:00Z But not all integers plugged into this expression generate a prime number, and as integers get bigger, prime numbers become rarer. How a Church Deacon Found the Biggest Prime Number Yet (It Wasn’t as Hard as You Think) 2018-01-26T05:00:00Z Drake’s Arecibo message drew upon a close relative of the prime numbers to construct its message. Greetings, E.T. (Please Don’t Murder Us.) 2017-06-28T04:00:00Z As for the other properties: “It is the twenty-first prime number. Its mirror, thirty-seven, is the twelfth. And its mirror, twenty-one, is the product of multiplying—hang onto your hats—seven and three.” Golden State and the Mathematical Magic of Seventy-Three 2016-04-13T04:00:00Z It then checked that this number was not divisible by any positive integer except 1 and itself — the definition of a prime number. New Biggest Prime Number = 2 to the 74 Mil ... Uh, It’s Big 2016-01-21T05:00:00Z The 10 largest known prime numbers are all Mersenne primes and every single one was discovered by GIMPS. Largest known prime number in the world discovered by GIMPS in Missouri 2016-01-20T05:00:00Z As the years went by, and other Mersenne prime numbers were found, Mr. Pace kept running the software in the background. How a Church Deacon Found the Biggest Prime Number Yet (It Wasn’t as Hard as You Think) 2018-01-26T05:00:00Z He chose to send exactly 1,679 pulses, because 1,679 is a semiprime number: a number that can be formed only by multiplying two prime numbers together, in this case 73 and 23. Greetings, E.T. (Please Don’t Murder Us.) 2017-06-28T04:00:00Z The next major goal is to win the $150,000 award administered by the Electronic Frontier Foundation offered for finding the first 100 million digit prime number. Largest prime number yet discovered has 22 million digits 2016-01-19T05:00:00Z The largest known prime number is now almost five million digits longer than the previous record-holder. New Biggest Prime Number = 2 to the 74 Mil ... Uh, It’s Big 2016-01-21T05:00:00Z The problem gets its name from expressions of the form a + b = c and connects the prime numbers that are factors of a and b with those that are factors of c. Biggest mystery in mathematics in limbo after cryptic meeting 2015-12-15T05:00:00Z Smaller prime numbers are important to cryptography, but larger ones, so far, mostly just dazzle us. How a Church Deacon Found the Biggest Prime Number Yet (It Wasn’t as Hard as You Think) 2018-01-26T05:00:00Z His work on prime numbers, in particular, set the stage for a golden age of mathematics that would follow decades later. History: A mathematical revolutionary : Nature : Nature Publishing Group 2015-12-08T05:00:00Z The new record-breaking prime was discovered by the Great Internet Mersenne Prime Search, a project that links thousands of computers around the world to look for prime numbers. Largest prime number yet discovered has 22 million digits 2016-01-19T05:00:00Z But not all integers plugged into this expression generate a prime number. New Biggest Prime Number = 2 to the 74 Mil ... Uh, It’s Big 2016-01-21T05:00:00Z Kelly knows countless facts about 17, the seventh prime number. Massachusetts college honors professor's lifelong love of number 17 by raising speed limit 2015-10-16T04:00:00Z The problem is that, while there’s no need to keep the chosen prime number secret, once a given proportion of conversations are using it as the basis of their encryption, it becomes an appealing target. Could a simple mistake be how the NSA were able to crack so much encryption? 2015-10-15T04:00:00Z The Ishango bone may be the oldest table of prime numbers. 10 things Africa has given the world 2015-09-08T04:00:00Z Highlights include a proof of Pythagoras’s theorem, and proof that there are an infinite number of prime numbers. Ten books that changed the world 2015-08-07T04:00:00Z As integers get bigger, prime numbers become rarer, but there is always a bigger prime number to be found. New Biggest Prime Number = 2 to the 74 Mil ... Uh, It’s Big 2016-01-21T05:00:00Z That happens to be an actual prime number, but whether it is a justifiable one remains questionable. Amazon’s Performance Isn’t an Open Book 2015-07-22T04:00:00Z Since those prime numbers are public anyway, and since it is computationally expensive to generate new ones, many encryption systems reuse them to save effort. Could a simple mistake be how the NSA were able to crack so much encryption? 2015-10-15T04:00:00Z Would it be something universal — the digits of pi, say, or a string of prime numbers? Can Yuri Milner Find Intelligent Extraterrestrial Beings? 2015-07-20T04:00:00Z Some species emerge every year, but others follow life cycles of three, seven, 13 and 17 years - all prime numbers. Cicadas to emerge in some parts of eastern Nebraska 2015-05-25T04:00:00Z Advertisement Advertisement How big is this big prime number? New Biggest Prime Number = 2 to the 74 Mil ... Uh, It’s Big 2016-01-21T05:00:00Z They include the prime numbers 3, 5 and 7. How to solve the maths puzzle for Vietnamese eight-year-olds that stumped parents and teachers 2015-05-21T04:00:00Z When he was an undergraduate at Harvard, anthologies were grim, square volumes with double-column printing on each page - printed as if the verses of Homer were no different from a table of prime numbers. M.H. Abrams, Norton anthology founder, dead at age 102 2015-04-22T04:00:00Z Seti researchers have long suspected that if they do ever detect an alien signal it will contain a mathematical message, such as the digits of pi or prime numbers. Message From The Aliens: '187.5' 2015-04-02T04:00:00Z They went on, “The main results are of the first rank. The author has succeeded to prove a landmark theorem in the distribution of prime numbers.” Solving an Unsolvable Math Problem 2015-01-26T05:00:00Z Put in n = 4, and the result is 24 – 1 = 15, which is not a prime number, because 15 is divisible by 3 and 5. New Biggest Prime Number = 2 to the 74 Mil ... Uh, It’s Big 2016-01-21T05:00:00Z People worked on esoteric projects like finding new prime numbers for encryption purposes, modeling nuclear detonations, and other obscure efforts. Nvidia: Profiting From The Rise Of The Machines 2015-01-26T05:00:00Z When Turing returned to the prime numbers in 1950, they were unchanged from when he left them in 1939, wars and superpowers notwithstanding. The Private Anguish of Alan Turing Lucky numbers are distant cousins of prime numbers, those divisible only by themselves and 1. The Number 2,187 Is Lucky. Here's Why 2014-10-09T04:00:00Z Zhang, a mathematician at the University of New Hampshire in Durham, was honored for his work on prime numbers, whole numbers that are divisible only by 1 or themselves. Prime Numbers Scholar Wins 2014 MacArthur "Genius Grant" 2014-09-17T04:00:00Z If you’re wondering: If a prime number is discovered and no one is there to notice, is it really discovered? — the answer is no. New Biggest Prime Number = 2 to the 74 Mil ... Uh, It’s Big 2016-01-21T05:00:00Z Sample interview question: “For any prime number larger than 3, prove that p^2-1 is always divisible by 24.” The $13 Billion Mystery Angels 2014-05-08T09:50:47Z The largest known prime number has over 17 million digits. Graham’s Number: Too Big to Tell 2014-04-01T12:15:33Z Every hour on the half hour, it tweets the next prime number. A Different Pi for Pi Day 2014-03-14T11:30:15Z In April 2013 he published a partial solution to a 2,300-year-old question: how many ‘twin primes’ — or pairs of prime numbers separated by two, such as 41 and 43 — exist. Prime Numbers Scholar Wins 2014 MacArthur "Genius Grant" 2014-09-17T04:00:00Z Most musical savants are blind and have perfect pitch, most artistic savants express themselves through realistic drawing and sculpture, and most rapid calculating savants have a fascination and facility with prime numbers. Where do Savant Skills Come From? 2014-02-25T19:18:59Z The zeta function is one of the more mysterious and celebrated subjects in mathematics, important in the theory of prime numbers, among other things. Out There: In the End, It All Adds Up to – 2014-02-03T19:59:21Z It was first conceived of late in 2004; the $79 price was apparently chosen because it was a prime number, according to a San Francisco Chronicle story. Prime Factors: Should Amazon Really Mess With The Best Loyalty Program In Retail? 2014-02-02T12:36:00Z In other words, how many prime numbers are smaller than 10141? A Different Pi for Pi Day 2014-03-14T11:30:15Z The function in question is the Riemann zeta function, which is famous for its deep connections to questions about the distribution of prime numbers. Does 1+2+3 Really Equal -1/12? 2014-01-20T15:05:02Z And some researchers have proposed that the cicadas have evolved life cycles around prime numbers of years because that arrangement limits the chances that predators will synchronize with the cicadas. Long-lived insects raise prime riddle 2013-05-29T17:20:23.740Z These keys are very big numbers, each of which is derived from the product of the same two prime numbers. Cryptography: The solace of quantum 2013-05-23T15:05:16Z In that case, the four-year gap between the two life cycles may be more important than the fact that both are prime numbers. Deciphering the Strange Mathematics of Cicadas [Video] 2013-05-23T14:15:09.293Z Solving a Riddle of Primes Three and five are prime numbers — that is, they are divisible only by 1 and by themselves. Solving a Riddle of Primes 2013-05-20T21:44:35Z If solved, it would help us understand the distribution of prime numbers much better than we do. Goldbach Variations 2013-05-15T22:15:00.360Z That goal is the proof to a conjecture concerning prime numbers. First Proof that Infinitely Many Prime Numbers Come in Pairs 2013-05-14T15:15:03.613Z Next year will mark Erdős’ 101st birthday, which would be better than celebrating his 100th birthday because 101 is a prime number. An Arbitrary Number of Years Since Mathematician Paul Erd s Birth 2013-03-26T19:45:00.487Z The fact that the surviving periodical cicadas have life cycles built on prime numbers may have conferred key survival advantages. Deciphering the Strange Mathematics of Cicadas [Video] 2013-05-23T14:15:09.293Z And for each of these pairs of prime numbers, the difference is 2. Solving a Riddle of Primes 2013-05-20T21:44:35Z Having the record prime number discovered three times at Central Missouri, a state college with about 11,000 students, is a source of great pride, said Mike Greife, the school's news bureau director. U.S. professor finds longest prime number with 17,425,170 digits 2013-02-08T18:14:35Z In fact, the race is on to find a 100-million-digit prime number. The 17-Million-Digit Prime Number 2013-02-07T08:20:00Z The first significant theorem he ever proved, at age 17, stated that between any number and its double, there is at least one prime number. An Arbitrary Number of Years Since Mathematician Paul Erd s Birth 2013-03-26T19:45:00.487Z And for years researchers have sought to explain how the Magicicada life cycles developed, why they are so long, and why they are both prime numbers. Deciphering the Strange Mathematics of Cicadas [Video] 2013-05-23T14:15:09.293Z As numbers get larger, prime numbers become sparser among vast expanses of divisible numbers. Solving a Riddle of Primes 2013-05-20T21:44:35Z Cooper said his earlier successes finding the highest prime number motivated him to keep trying. U.S. professor finds longest prime number with 17,425,170 digits 2013-02-08T18:14:35Z Curtis Cooper, a researcher at the University of Central Missouri, reportedly spent four years searching for the new prime number. The 17-Million-Digit Prime Number 2013-02-07T08:20:00Z Close to zero, prime numbers are common: 2,3,5,7, etc. An Arbitrary Number of Years Since Mathematician Paul Erd s Birth 2013-03-26T19:45:00.487Z This is the third prime number discovered by Cooper. Largest Prime Number Discovered 2013-02-05T21:15:00.537Z In mathematics, a proof – Euclid’s proof of the infinitude of prime numbers for instance – is thought to be beautiful if it combines the qualities of economy, generality and surprise. Truth and beauty in chemistry 2013-01-25T00:15:10.973Z One interesting aspect of perfect numbers is their connection to a certain type of prime number called a Mersenne prime. Where in the World Are the Odd Perfect Numbers? 2013-01-10T15:15:12.140Z But when you bring in prime numbers, things get interesting. ABC Proof Could Be Mathematical Jackpot 2012-09-12T22:00:00Z As one climbs higher and higher, prime numbers occur more infrequently. An Arbitrary Number of Years Since Mathematician Paul Erd s Birth 2013-03-26T19:45:00.487Z As a mathematician I have a general affinity for prime numbers. 10 readers' favourite numbers 2012-09-04T00:12:55Z It’s more than just the first odd prime number. Joe Theismann gushes over RGIII 2012-08-10T02:33:45Z This requirement for making sure that a message looks designed has led the radio astronomy camp to suggest sending out messages that communicate prime number sequences. Better (extraterrestrial) communication through chemistry: Isotopes and mirror-image molecules 2012-07-25T17:45:03.207Z Here are Student A's options again: So far we've looked at n groups of n students when n is a prime number. Wordplay Blog: Numberplay: Three Containers 2012-07-23T16:00:56Z Erdős once told his biographer Paul Hoffman, in a somewhat beautiful and somewhat sad sentiment, that prime numbers were his best friends. An Arbitrary Number of Years Since Mathematician Paul Erd s Birth 2013-03-26T19:45:00.487Z Here is a prime number: “We were engaged for 40 years, and officially married for two,” Ms. Windsor said. About New York: Woman Says Same-Sex Marriage Bias Cost Her Over $500,000 2012-06-08T01:09:57Z Ditto for a student able to show that she knows prime numbers by completing Eratosthenes Sieve. The mistake policymakers make about teaching 2012-05-29T08:00:00Z Just like a message containing prime numbers would reveal knowledge of mathematics, a message containing a swarm of C-enriched molecules would reveal knowledge of chemistry and NMR spectroscopy. Better (extraterrestrial) communication through chemistry: Isotopes and mirror-image molecules 2012-07-25T17:45:03.207Z The classic example is combining large prime numbers and subsequently trying to factor the resulting large number to determine the original prime numbers. Privacy through Uncertainty: Quantum Encryption 2012-04-27T17:15:00.653Z Erdős later did a similar job of simplifying the prime number theorem, which reveals how prime numbers will be distributed. An Arbitrary Number of Years Since Mathematician Paul Erd s Birth 2013-03-26T19:45:00.487Z He was then asked to give the factors of 36,083; but he immediately replied that it had none, which is the fact, it being a prime number. Curiosities of Human Nature 2012-04-03T02:00:27.167Z The above examples of student proficiency on the theory of evolution, the Declaration of Independence, and prime numbers demonstrate “successful” learning. The mistake policymakers make about teaching 2012-05-29T08:00:00Z You could have s and s that are prime numbers, s and s that are square roots of successive integers or s and s that represent the Pythagoras theorem for a unit rectangle. Better (extraterrestrial) communication through chemistry: Isotopes and mirror-image molecules 2012-07-25T17:45:03.207Z Three index dials, which are made interchangeable, provide for most divisions except a few prime numbers to 360. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z The system requires that a user first create and publish the product of two large prime numbers, in addition to another number, to generate a public “key.” Researchers Find Flaw in an Online Encryption Method 2012-02-16T22:24:39Z The whole system rests on those random prime numbers. Researchers Detail Flaw in Online Cryptography, but Don't Panic 2012-02-16T05:28:40Z The system requires that a user first create and publish the product of two large prime numbers in addition to another number to generate a public “key.” Researchers Find Flaw in an Online Encryption Method 2012-02-14T19:58:20Z The reason this is so secure is that although it is easy to multiply two prime numbers together it is almost impossible to pull them apart. Nature's hidden prime number code 2011-07-27T09:25:31Z He died in the belief that he had found a relation which every prime number must satisfy, namely 22n + 1 = a prime. Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 3 "Fenton, Edward" to "Finistere" 2011-03-14T03:01:00.580Z He laid the foundation of the theory of numbers by considering the properties of numbers as such, namely, prime numbers, odd and even numbers, etc. Archimedes Men of Science 2011-03-13T03:00:23.660Z The technique hinges on generating random prime numbers, which get passed through an algorithm. Researchers Detail Flaw in Online Cryptography, but Don't Panic 2012-02-16T05:28:40Z For the system to provide security, however, it is essential that the secret prime numbers be generated randomly. Researchers Find Flaw in an Online Encryption Method 2012-02-14T19:58:20Z The cicadas appear periodically but only emerge after a prime number of years. Nature's hidden prime number code 2011-07-27T09:25:31Z For a quartic the formulae present themselves in a somewhat different form, by reason that 4 is not a prime number. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" 2011-02-27T03:00:31.973Z Remember, we use prime numbers to talk to aliens. Bending and Stretching Classroom Math Lessons to Fit the World 2011-01-17T21:05:37Z Just a number, and not even a prime number or anything like that. The Mystery and Majesty of the Number 600 2010-08-04T22:48:00Z Suddenly, she could explain why one isn’t a prime number and why you can’t divide by zero. Building a Better Teacher 2010-03-06T15:15:00Z This is the prime number, every other number being simply so many units. A Critical History of Greek Philosophy It's easy to multiply two big prime numbers together and make a giant number. Little Brother Such a number is, of course, called a prime number. The Canterbury Puzzles And Other Curious Problems He also prepared a table of prime numbers up to 60,000. A Budget of Paradoxes, Volume II It is this: if p be a prime number, the product of all the numbers up to p-1, increased by 1, is divisible without remainder by p. A Budget of Paradoxes, Volume I Still greater is the dignity of trebly prime numbers; when the number marking the place of this second number is also prime. Auguste Comte and Positivism In other words, the first 144 odd prime numbers have actually been arranged in magic form. Amusements in Mathematics To find how many different numbers will divide a given number, N, let N = ap bq cr ..., where a, b, c ... are prime numbers. The Canterbury Puzzles And Other Curious Problems Not an atom of carbonic acid could resist the caustic potash; and as for the oxygen, according to M'Nicholl's expression, "it was A prime number one!" All Around the Moon This was done, for instance, by Gauss when he found a necessary and sufficient condition that a regular polygon of a prime number of sides can be constructed by elementary methods. Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86 But then, he says, it is absolutely necessary that the basis of numeration should be a prime number. Auguste Comte and Positivism Of course the prime numbers available are 1, 2, 3, 5, 7, 11, 13, 17, 19, and 23, so you are at liberty to select any nine of these that will serve your purpose. Amusements in Mathematics The reader is aware that there are prime numbers and composite whole numbers. The Canterbury Puzzles And Other Curious Problems He said he had a system for buying only the tickets with prime numbers, that won't divide by anything, and that it must win. Frenzied Fiction Both of the given instances of unanswered classic questions relate to prime numbers. Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86 But M. Comte's puerile predilection for prime numbers almost passes belief. Auguste Comte and Positivism Consequently, if the number of Pg 246plums in every basket was a prime number, then the man would be correct in saying that the proposed distribution was quite impossible. Amusements in Mathematics The difficulty lies wholly with those cases where n is a prime number. The Canterbury Puzzles And Other Curious Problems Other numbers being proposed to him indiscriminately, he always succeeded in giving the correct factors except in the case of prime numbers, which he generally discovered almost as soon as they were proposed to him. Life and Habit One of the earliest opportunities to impress on the student the fact that mathematical knowledge is very limited in certain directions presents itself in connection with the study of prime numbers. Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86 The number thirteen fulfils these conditions: it is a prime number, it is the seventh prime number, and seven is the fifth prime number. Auguste Comte and Positivism Our puzzle, therefore, resolves itself into forming a magic square with nine different prime numbers. Amusements in Mathematics When n = 2, we have the prime number 11; when n = 3, the factors are 3 . The Canterbury Puzzles And Other Curious Problems He was then asked to give the factors of 36,083, but he immediately replied that it had none, which was really the case, this being a prime number. Life and Habit Among the small prime numbers there appear many which differ only by 2. Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86 I could have shown her some good puzzles about the squares of the prime numbers up to forty-one. The Hohenzollerns in America And the 12th is the lowest order in which a straight series of prime numbers, unbroken, from 1 upwards has been made to work. Amusements in Mathematics Some idiots savants are able to go through long sequences of phone numbers, produce complete listings of prime numbers, and execute incredible multiplication and division. The Civilization of Illiteracy As we have just discussed the construction of magic squares with prime numbers, the following forms an interesting companion problem. Amusements in Mathematics For instance, 3 and 5, 5 and 7, 11 and 13, 17 and 19, 29 and 31, constitute such pairs of prime numbers. Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86 The key to the puzzle is the curious fact that any number up to 39, if added to its square and the sum increased by 41, makes a prime number. Amusements in Mathematics This is the form in which I first introduced the question of magic squares with prime numbers. Amusements in Mathematics In Diagram A we have a magic square in prime numbers, and it is the one giving the smallest constant sum that is possible. Amusements in Mathematics The question arises whether there is a limit to such pairs of primes, or whether beyond each such pair of prime numbers there must exist another such pair. Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86 As an instance of one which does not relate to prime numbers we may refer to the question whether there exists an odd perfect number. Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86 Another unanswered question which can be understood by all is whether every even number is the sum of two prime numbers. Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86 |
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