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.

A108023 a(1)=2; a(n) is the smallest prime such that a(n)-a(n-1) is a 6th power (>0).

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%I A108023 #5 Mar 30 2012 19:00:47
%S A108023 2,3,67,131,2176782467,22485250805891,132514367714796227,
%T A108023 132514373203827971,1472610013828827971,3552822265021773233027,
%U A108023 3552822910800868882883,3552824349717606382019,3552824349723095413763
%N A108023 a(1)=2; a(n) is the smallest prime such that a(n)-a(n-1) is a 6th power (>0).
%C A108023 Since a(5) is 6 mod 7, all entries after a(5) are congruent to a(5) mod 14^6
%e A108023 a(4)=131 which is 2 mod 3 so if 131 +k^6 is prime, k must be divisible by 6. 131+6^6 and 131+24^6 are divisible by 13, 131 +12^6 and 131+18^6 are divisible by 5, 131+30^6 is divisible by 41, 131+36^6 is prime.
%Y A108023 Cf. A073609, A076201.
%K A108023 nonn
%O A108023 1,1
%A A108023 _John L. Drost_, May 31 2005
%E A108023 Corrected by _T. D. Noe_, Nov 15 2006