Wikipedia:Reference desk/Archives/Mathematics/2016 May 18

= May 18 =

Smallest prime factor of 2^1277 - 1
Has anyone yet found the smallest prime factor of 2^1277 - 1?? Georgia guy (talk) 16:36, 18 May 2016 (UTC)
 * No factors are listed here, so probably not. -- BenRG (talk) 19:28, 18 May 2016 (UTC)
 * Is there a in the house? (Probably won't give a different answer from Ben's, but might shed more light on this issue). -- Meni Rosenfeld (talk) 23:59, 18 May 2016 (UTC)
 * No factors are known. It's the smallest Mersenne number without a known factor. Based on http://www.mersenne.org/report_ECM/ the smallest factor probably has more than 60 digits but ECM gives no guarantees, and if a factor is found it isn't known whether it's the smallest unless the number is completely factored. Integer factorization records mentions some of the work to factor smaller Mersenne numbers. One project used around 7500 core years. PrimeHunter (talk) 00:33, 19 May 2016 (UTC)

Seeking References
Can I have some free links to references on solving Laplace equation and legendary polynomials?Sayan19ghosh99 (talk) 17:05, 18 May 2016 (UTC)
 * You mean Legendre polynomials?--178.106.99.31 (talk) 22:07, 18 May 2016 (UTC)


 * I prefer the OP's version, as it could lead to some hit-or-myth methods of solution. →86.176.133.85 (talk) 16:49, 24 May 2016 (UTC)


 * Also, Laplace's equation ?--178.106.99.31 (talk) 22:41, 18 May 2016 (UTC)