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A256835 Primes of form n^2 + 2401. 14

%I #4 Apr 11 2015 17:03:47

%S 2417,2437,2657,2801,3301,3557,3697,4001,4337,4517,7877,10501,11617,

%T 12401,13217,19301,20357,20897,26737,28001,29297,33377,36997,38501,

%U 40037,44017,48197,49057,64901,70001,77477,78577,86501,90017,92401,104801,107377,108677

%N Primes of form n^2 + 2401.

%C Conjecture: sequence is infinite.

%H Reinhard Zumkeller, <a href="/A256835/b256835.txt">Table of n, a(n) for n = 1..10000</a>

%o (Haskell)

%o a256835 n = a256835_list !! (n-1)

%o a256835_list = [x | x <- map (+ 2401) 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), A256836 (b=8), A256837 (b=9), 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 April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)