#Great Internet Mersenne Prime Search
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AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
#math#great internet mersenne prime search#prime numbers#I will be screaming about this for the next week thanks#be aware irls! the dreaded Bardic Infodump is coming for you
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Oh man what the fuck i just joined GIMPS because I watched the veritasium video on it and I was like ooh I don’t use my computer for anything lemme contribute my little bit of RAM and I come to find out there was a 6 year gap between the last discovered one and the one discovered a few weeks ago???? 😭😭😭
#like damn I’m gonna be halfway through college before the next one gets found at this rate#GIMPS#mersenne prime#Great Internet Mersenne Prime Search
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After a week of checking and some 6 years of waiting, we have finally found a new largest prime!!! This modest number is given by
p = 2^{136279841} - 1
and has more than 40 million digits! This was, of course, found by GIMPS.
Source:
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C'è chi invia i buongiornissimo caffè, mentre io vi saluto dicendovi che è stato appena scoperto un nuovo numero primo, avente la bellezza di 41.024.320 cifre, ovvero
Queste sono le robe che vorrei che mia madre mi inviasse la mattina su Whatsapp.
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What’s prime grid
So a hobby of number fans and mathematicians alike is looking for big prime numbers. Because if you find one, you’ll have a small dose of fame (and sometimes prize money). Of course, the prime numbers we know of are so large that you can’t feasibly check them all by hand anymore, so you have to get computers to run them.
There are two competing projects to find big prime numbers: GIMPS and PrimeGrid. GIMPS (Great Internet Mersenne Prime Search) is dedicated to finding bigger and bigger Mersenne Primes (2^n -1), because Mersenne primes are really easy to check—their sieve is really simple for binary computers.
PrimeGrid runs a bunch of other sieves looking for different kinds of prime numbers, like 321 primes (3*2^n ±1), Proth Primes (k*2^n +1), Cullen/Woodall Primes (n*2^n ±1), Generalized Fermat Primes (b^2^n +1), and more. These aren’t necessarily going to be the biggest, but they are mathematically interesting for other reasons. For example, there’s an attempt to solve the Sierpiński problem (is 78557 the smallest k for which no Proth Primes exist?), called “Seventeen or Bust” (because there were 17 candidates when they started), which had found the 7th largest prime number (since dropped down to 11th place) by eliminating one of those candidates (there are now only 5 candidates). Of course, you can try to find the biggest prime number with their “Do you feel lucky?” project (“a real long shot. It borders on stupidity”).
Both of these you can run in the background on your computer, donating your excess computing power to advancing mathematics. GIMPS is its own standalone program. PrimeGrid runs thru BOINC (Berkeley Open Infrastructure for Network Computing), which you may know from Einstein@Home, Rosetta@home, or World Community Grid.
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Events 11.13 (after 1970)
1970 – Bhola cyclone: A 240 km/h (150 mph) tropical cyclone hits the densely populated Ganges Delta region of East Pakistan (now Bangladesh), killing an estimated 500,000 people in one night. 1982 – Ray Mancini defeats Duk Koo Kim in a boxing match held in Las Vegas. Kim's subsequent death (on November 17) leads to significant changes in the sport. 1982 – The Vietnam Veterans Memorial is dedicated in Washington, D.C. after a march to its site by thousands of Vietnam War veterans. 1985 – The volcano Nevado del Ruiz erupts and melts a glacier, causing a lahar (volcanic mudslide) that buries Armero, Colombia, killing approximately 23,000 people. 1985 – Xavier Suárez is sworn in as Miami's first Cuban-born mayor. 1986 – The Late, Late Breakfast Show incident leads to death of 24 year old Michael Lush and show cancellation. 1989 – Hans-Adam II, the present Prince of Liechtenstein, begins his reign on the death of his father. 1990 – In Aramoana, New Zealand, David Gray shoots dead 13 people in a massacre before being tracked down and killed by police the next day. 1991 – The Republic of Karelia, an autonomous republic of Russia, is formed from the former Karelian ASSR. 1992 – The High Court of Australia rules in Dietrich v The Queen that although there is no absolute right to have publicly funded counsel, in most circumstances a judge should grant any request for an adjournment or stay when an accused is unrepresented. 1993 – China Northern Airlines Flight 6901 crashes on approach to Ürümqi Diwopu International Airport in Ürümqi, China, killing 12 people. 1994 – In a referendum, voters in Sweden decide to join the European Union. 1995 – Mozambique becomes the first state to join the Commonwealth of Nations without having been part of the former British Empire. 1995 – Nigeria Airways Flight 357 crashes at Kaduna International Airport in Kaduna, Nigeria, killing 11 people and injuring 66. 1996 – As part of the Great Internet Mersenne Prime Search (GIMPS) project, Joel Armengaud discovers the project's first Mersenne prime number, 2^{1398269}-1}, a number with 420,921 digits. 2000 – Philippine House Speaker Manny Villar passes the articles of impeachment against Philippine President Joseph Estrada. 2001 – War on Terror: In the first such act since World War II, US President George W. Bush signs an executive order allowing military tribunals against foreigners suspected of connections to terrorist acts or planned acts on the United States. 2002 – Iraq disarmament crisis: Iraq agrees to the terms of the UN Security Council Resolution 1441. 2002 – During the Prestige oil spill, a storm bursts a tank of the oil tanker MV Prestige, which was not allowed to dock and sank on November 19, 2002, off the coast of Galicia, spilling 63,000 metric tons of heavy fuel oil, more than the Exxon Valdez oil spill. 2012 – A total solar eclipse occurs in parts of Australia and the South Pacific. 2013 – Hawaii legalizes same-sex marriage. 2013 – 4 World Trade Center officially opens. 2015 – Islamic State operatives carry out a series of coordinated terrorist attacks in Paris, including suicide bombings, mass shootings and a hostage crisis. The terrorists kill 130 people, making it the deadliest attack in France since the Second World War.
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「2の1億3627万9841乗−1」になると
はたして、虹色社は今回も出版するのか?
何ページになるのか?
(そもそも出版されるのか?)
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M136279841, as is its friends call it, is over 40 million digits long in base 10, and over 16 million digits longer than the last contender! It's also a Mersenne prime, which is the shorthand for a prime of the form 2^n-1; these are significantly easier to check for primality than other numbers, so they're usually the source of new world record primes.
This also marks the end of a 6-year drought in finding biggest-known-primes. That's the longest drought since the 1970s, and the longest in the history of the Great Internet Mersenne Prime Search (GIMPS), a volunteer crowd-computing search that's collectively set every prime-finding record for nearly 30 years. (Anyone with a decent PC can set up GIMPS on their own computer and go for the gold: the record set in 2017, for instance, was by a FedEx employee who ran the Prime95 software on their computer in their spare time!)
It's official: 2^136279841-1 is a prime number, marking the biggest known prime yet!
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What is the largest consecutive prime number? I mean, what is the largest prime for which we know whether all the numbers less than it are prime or not? The largest known primes is 2^82589933 -1, which is 24,862,048 digits long. The second largest known prime is 2^77232917 -1, which is 23,249,425 million digits long. That means they’re 1,612,623 orders of magnitude apart, which is an unfathomably large gap; a million billion trillion quadrillions is only 46 orders of magnitude. The number of particles in the observable universe is only around 80 orders of magnitude. There are countless primes between these two that we just haven’t discovered yet, so what’s the highest number that we’ve discovered all the primes up to?
#prime numbers#primes#math#maths#mathematics#mersenne prime#mersenne primes#gimps#great internet mersenne prime search#order of magnitude#science side#question
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hey nyall should go help out with the Great Internet Mersenne Prime Search and do something semi important and brag to your friends that you helped do a math thing once
its freeeeeeeeeee
#file size: 1tb#great internet mersenne prime search#prime numbers#mersenne primes#mathematics#i refuse to put the acronym because it can only end badly
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today i learned that the biggest known prime number has 22,338,618 digits and is 274,207,281–1
isn’t that wild???
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Vero: il più grande numero primo conosciuto è, a marzo 2022, 2 elevato a 82 589 933 − 1, un numero che, se scritto in base 10, è composto da 24 862 048 cifre. Tale numero è stato scoperto il 7 dicembre 2018 da Patrick Laroche nell'ambito del progetto Great Internet Mersenne Prime Search (GIMPS). Per scriverlo su un quaderno a quadretti normale, occorrerebbero 118 km di carta.
Vero: il recente sequenziamento del genoma, a cui hanno partecipato le Università di Padova e Udine, ha dimostrato che è ben 15 volte più grande di quello umano, il krill antartico - o Euphausia superba - è l’organismo animale più abbondante sul pianeta, con una biomassa totale compresa tra i 300 e i 500 milioni di tonnellate.
Vero:
Sebbene non abbia mai perso la sua funzione religiosa, parte della Chiesa del Santissimo Salvatore di Palermo, è adibita a meraviglioso auditorium, dovuti ai lavori di recupero dopo i devastanti bombardamenti del 1943 che in parte distrussero l'edificio, che si affaccia su Corso Vittorio Emanuele, l'antico Cassaro.
FALSO: l'uomo ha rubato una mattonella, scoperto dalle telecamere di videosorveglianza, nell'ala napoleonica della Reggia
Vero: "Se due persone dello stesso sesso chiedono il riconoscimento, e cioè l'iscrizione all'anagrafe, di un bambino che spacciano per proprio figlio significa che questa maternità surrogata l'hanno fatta fuori dai confini nazionali".
Così Fabio Rampelli, vicepresidente della Camera e esponente di FdI, nel corso della trasmissione In Onda su La7 il 19 Marzo 2023.
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Record-Breaking Discoveries of 2016!
#2^74207281 -1#education#GIMPS#Great Internet Mersenne Prime Search#Green#Hank#Learn#Mersenne prime#Science#SciShow#Search for Extraterrestrial Inte...
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Update, Jan. 4, 2018: On Wednesday, the Great Internet Mersenne Prime Search announced that a computer owned by Jonathan Pace in Germantown, Tennessee, discovered a new prime number. At 23,249,425 digits, the number, known as M77232917, is now the largest known prime.
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Minesweeper Midi Gems
The first and only collection that consists of unprecedentedly rare Minesweeper game outcomes – the chances to see such a game result are 305 in a tredecillion. Finding a needle in a haystack is 10^33 times easier!
This is the first collection in NFT history that is naturally limited in size – it contains all possible variants of one-click win results with symmetrically distributed mines in the Minesweeper Intermediate level. Genuinely limited edition.
The collection holders get exclusive access to P2E Minesweeper-based app that aims to contribute to Great Internet Mersenne Prime Search and other distributed computing scientific projects. They also have a chance to get two tickets to the World Video Game Hall of Fame in Rochester, NY (or their cash equivalent).
As seen on NFT Drop Scanner - NFT Calendar
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This past week, a FedEx employee from Germantown, Tenn., made a massive discovery — and it wasn't in any packages. John Pace found the largest prime number known to humankind.
And that number goes on to more than 23 million digits.
"So it's longer than anybody really wants to sit down and hear," he says.
If you're not great at math, here's a primer: Prime numbers can only be divided by 1 and themselves.
Pace found his prime as part of an online collective called the Great Internet Mersenne Prime Search, or GIMPS. Pace and thousands of volunteers ran software on their personal computers crunching numbers day-in and day-out.
Anyone can participate, you just need a computer, an internet connection and a lot of patience. Pace began his prime hunt 14 years ago.
A Tenn. Man Recently Discovered The Largest Prime Number Known To Humankind
Illustration: erhui1979/Getty Images
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