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Prime divisors of 2^1092-1, listed with multiplicities.
6

%I #35 May 08 2024 05:43:27

%S 3,3,5,7,7,13,13,29,43,53,79,113,127,157,313,337,547,911,1093,1093,

%T 1249,1429,1613,2731,3121,4733,5419,8191,14449,21841,121369,224771,

%U 503413,1210483,1948129,22366891,108749551,112901153,23140471537,25829691707,105310750819,467811806281,4093204977277417,8861085190774909,556338525912325157,86977595801949844993,275700717951546566946854497,292653113147157205779127526827,3194753987813988499397428643895659569

%N Prime divisors of 2^1092-1, listed with multiplicities.

%C Up to now only two primes p such that p^2 divide 2^(p-1)-1 are known (these two are Wieferich primes, see A001220).

%C The sequence is finite with A001222(2^1092-1) = 49 terms; A001221(2^1092-1) = 45. - _Reinhard Zumkeller_, May 14 2010

%C Terms appearing more than once (in fact twice) are 3, 7, 13, and 1093.

%H Reinhard Zumkeller, <a href="/A172290/b172290.txt">Table of n, a(n) for n = 1..49</a> (complete sequence)

%H Dario A. Alpern, <a href="https://www.alpertron.com.ar/ECM.HTM">Factorization using the Elliptic Curve Method</a>.

%Y Cf. A001220, A172291, A177855, A046051, A046800, A242715.

%K fini,full,nonn

%O 1,1

%A _Artur Jasinski_, Jan 30 2010

%E Missing terms a(34) and a(35) inserted by _Reinhard Zumkeller_, May 14 2010

%E Definition clarified and terms corrected by _Joerg Arndt_, Apr 25 2011

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Last modified September 21 12:44 EDT 2024. Contains 376084 sequences. (Running on oeis4.)