cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A092558 Numbers k such that 2^k +- 1 are both semiprimes.

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%I A092558 #13 Feb 22 2022 21:25:42
%S A092558 11,23,101,167,199,347
%N A092558 Numbers k such that 2^k +- 1 are both semiprimes.
%C A092558 Intersection of A092559 and A085724.
%C A092558 a(7), if it exists, is at least 41519. - _Charles R Greathouse IV_, Jun 05 2013
%C A092558 2^41519 + 1 is the product of 3 and a composite number, so if a(7) exists, it exceeds 41519. - _Jon E. Schoenfield_, Feb 22 2022
%e A092558 11 is a term because 2^11 - 1 = 23*89 and 2^11 + 1 = 3*683.
%o A092558 (PARI) is(n)=isprime(n) && n>7 && ispseudoprime((2^n+1)/3) && bigomega(2^n-1)==2 \\ _Charles R Greathouse IV_, Jun 05 2013
%Y A092558 Subsequence of A000040.
%Y A092558 Cf. A092559, A085724, A092561, A092562.
%K A092558 nonn
%O A092558 1,1
%A A092558 _Zak Seidov_, Feb 27 2004
%E A092558 a(6) from _Robert G. Wilson v_, Apr 18 2006