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A092558 Numbers k such that 2^k +- 1 are both semiprimes. 6

%I #13 Feb 22 2022 21:25:42

%S 11,23,101,167,199,347

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

%C Intersection of A092559 and A085724.

%C a(7), if it exists, is at least 41519. - _Charles R Greathouse IV_, Jun 05 2013

%C 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 11 is a term because 2^11 - 1 = 23*89 and 2^11 + 1 = 3*683.

%o (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 Subsequence of A000040.

%Y Cf. A092559, A085724, A092561, A092562.

%K nonn

%O 1,1

%A _Zak Seidov_, Feb 27 2004

%E a(6) from _Robert G. Wilson v_, Apr 18 2006

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Last modified June 10 17:12 EDT 2024. Contains 373277 sequences. (Running on oeis4.)