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| caption = PrimeGrid screensaver displaying the 321 Prime Search application ...' project focused on the discovery of large [[wikipedia:Prime number|prime numbers]] and the advancement of computational [[wikipedia:Number theory|number the ...

...kipedia:Volunteer computing|volunteer computing]]''''' project researching numbers of the form ...wikipedia:Fermat_number#Generalized_Fermat_numbers|'''''Generalized Fermat numbers''''']]. ...

...ocused on the [[wikipedia:Integer factorization|integer factorization]] of numbers of the form: ...hese values are commonly referred to by the project as ''Mersenneplustwo'' numbers.<ref>{{cite web |url=https://web.archive.org/web/20240118183120/http://bear ...

...or symmetric [[wikipedia:Prime k-tuple|''k''-tuples]] of consecutive prime numbers. It was launched on 13 February 2025 by mathematician Natalia Makarova and ODLK2025 is the latest in a chain of related projects all aimed at symmetric prime tuples: ...

...nated computing power from volunteers around the world to factor composite numbers up to approximately 149 digits in length. ...k |last=Crandall |first=Richard |last2=Pomerance |first2=Carl |title=Prime Numbers: A Computational Perspective |publisher=Springer |year=2005 |isbn=978038725 ...

...ures 'R Us|Conjectures 'R Us]] (CRUS), [[wikipedia:Great Internet Mersenne Prime Search|GIMPS]] ...olish mathematician who proved the existence of infinitely many Sierpiński numbers in 1960.]] ...

| name = SPT (Symmetric Prime Tuples) ...me on their personal computers to help systematically search for symmetric prime k-tuples, advancing an open mathematical problem first formally presented b ...

| name = Amicable Numbers ...stration|thumb|Demonstration, with rods, of the amicability of the pair of numbers ([[wikipedia:220_(number)|'''''220''''']], [[wikipedia:284_(number)|'''''28 ...

| * [[PrimeGrid]] prime number searches across many sub-projects | * [[SPT]] Symmetric Prime Tuples ...

...he Internet for research purposes, following the [[Great Internet Mersenne Prime Search]] (GIMPS), launched in 1996, and [[distributed.net]], launched in 19 ...t Starwave Corp., proposed using a virtual supercomputer composed of large numbers of Internet-connected computers to perform radio SETI analysis.<ref name="c ...

...s such as 321 primes, Cullen-Woodall primes, Proth prime, prime Sierpinski numbers, and Sophie Germain primes. Subprojects also include Seventeen or Bust, and ...proposed doing radio SETI using a virtual supercomputer composed of large numbers of Internet-connected computers, and he organized the SETI@home project to ...