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A124110 Primes of the form A124080 (10 times triangular numbers) +- 1.

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%I A124110 #6 Oct 31 2013 12:17:42
%S A124110 11,29,31,59,61,101,149,151,211,281,359,449,659,661,911,1049,1051,
%T A124110 1201,1361,1531,1709,1901,2099,2309,2311,2531,2999,3001,3251,3511,
%U A124110 3779,4349,4649,4651,5279,5281,6299,6301,6659,6661,7411,8609,9029,9461,9901,11279
%N A124110 Primes of the form A124080 (10 times triangular numbers) +- 1.
%C A124110 Numbers j such that A124080(j)-1 is prime or A124080(j)+1 is prime, where repetition means a twin prime, are 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 8, 9, 11, 11, 13, 14, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 24, 24, 25, ..., . - _Robert G. Wilson v_, Nov 29 2006
%F A124110 {A124080(j)-1 when prime} U {A124080(j)+1 when prime} = {i = 10*T(j)-1 such that i is prime} U {i = 10*T(j)+1 such that i is prime} where T(j) = A000217(j) = j*(j+1)/2.
%e A124110 a(1) = A124080(1)+1 = (10*T(1)) - 1 = 10*(1*(1+1)/2) + 1 = 10+1 = 11 is prime.
%e A124110 a(2) = A124080(2)-1 = (10*T(2))-1 = 10*(2*(2+1)/2) - 1 = 30-1 = 29 is prime.
%e A124110 a(3) = A124080(2)+1 = (10*T(2))+1 = 10*(2*(2+1)/2) + 1 = 30+1 = 31 is prime.
%t A124110 s = {}; Do[t = 5n(n + 1); If[PrimeQ[t - 1], AppendTo[s, t - 1]]; If[PrimeQ[t + 1], AppendTo[s, t + 1]], {n, 47}]; s (* _Robert G. Wilson v_ *)
%Y A124110 Cf. A000040, A000217, A028895, A046092, A045943, A002378, A028896, A024966, A033996, A027468.
%K A124110 easy,nonn
%O A124110 1,1
%A A124110 _Jonathan Vos Post_, Nov 26 2006
%E A124110 More terms from _Robert G. Wilson v_, Nov 29 2006