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A256837 Primes of form n^2 + 6561. 14

%I

%S 6577,6661,6961,7237,7717,8161,8677,9697,10657,12037,16561,17377,

%T 18661,21937,24517,25057,26161,33457,35461,37537,56737,57637,69061,

%U 74161,77317,81637,84961,106417,108961,124897,129061,143461,146437,147937,150961,155557

%N Primes of form n^2 + 6561.

%C Conjecture: sequence is infinite.

%H Reinhard Zumkeller, <a href="/A256837/b256837.txt">Table of n, a(n) for n = 1..10000</a>

%o (Haskell)

%o a256837 n = a256837_list !! (n-1)

%o a256837_list = [x | x <- map (+ 6561) a000290_list, a010051' x == 1]

%Y Cf. A010051, A000290; subsequence of A028916.

%Y Primes of form n^2+b^4, b fixed: A002496 (b=1), A243451 (b=2), A256775 (b=3), A256776 (b=4), A256777 (b=5), A256834 (b=6), A256835 (b=7), A256836 (b=8), A256838 (b=10), A256839 (b=11), A256840 (b=12), A256841 (b=13)

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Apr 11 2015

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Last modified January 18 18:32 EST 2018. Contains 297864 sequences.