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 A256839 Primes of form n^2 + 14641. 14

%I

%S 14657,14741,14897,15217,15541,15797,15937,19541,20117,22037,22741,

%T 23857,25457,28097,30517,31541,38977,40241,42197,43541,44917,47041,

%U 48497,50741,57077,58741,61297,64817,65717,74177,77141,80177,82241,87541,107057,117041

%N Primes of form n^2 + 14641.

%C Conjecture: sequence is infinite.

%H Reinhard Zumkeller, <a href="/A256839/b256839.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[500]^2+14641,PrimeQ] (* _Harvey P. Dale_, Mar 20 2017 *)

%o a256839 n = a256839_list !! (n-1)

%o a256839_list = [x | x <- map (+ 14641) 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), A256837 (b=9), A256838 (b=10), A256840 (b=12), A256841 (b=13).

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Apr 11 2015

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