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.

A077375 Numbers k such that 2^k + prime(k) is prime.

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%I A077375 #25 Jun 01 2025 14:17:55
%S A077375 2,3,4,5,12,13,14,23,57,106,226,227,311,373,1046,1298,1787,1952,2130,
%T A077375 2285,2670,3254,3642,4369,13559,33418,66830,213810
%N A077375 Numbers k such that 2^k + prime(k) is prime.
%C A077375 All terms < 5000 correspond to certified primes (Primo 2.2.0 beta). - _Ryan Propper_, Aug 08 2005
%H A077375 H. Lifchitz, <a href="http://www.primenumbers.net/Henri/us/MersFermus.htm">Mersenne and Fermat primes field</a>
%e A077375 2^12 + prime(12) = 4096 + 43 = 4139 is a prime, so 12 is a term.
%Y A077375 Corresponding prime(k) are in A242944.
%Y A077375 Cf. A078583, A078686.
%K A077375 nonn,more
%O A077375 1,1
%A A077375 _Jason Earls_, Nov 30 2002
%E A077375 a(25)-a(26) from _Ryan Propper_, Aug 08 2005
%E A077375 a(27) from _Henri Lifchitz_ added by _Jason Earls_, Jan 12 2008
%E A077375 a(28) from _Michael S. Branicky_, Jun 01 2025