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A256839 Primes of form n^2 + 14641. 14
14657, 14741, 14897, 15217, 15541, 15797, 15937, 19541, 20117, 22037, 22741, 23857, 25457, 28097, 30517, 31541, 38977, 40241, 42197, 43541, 44917, 47041, 48497, 50741, 57077, 58741, 61297, 64817, 65717, 74177, 77141, 80177, 82241, 87541, 107057, 117041 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Conjecture: sequence is infinite.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

MATHEMATICA

Select[Range[500]^2+14641, PrimeQ] (* Harvey P. Dale, Mar 20 2017 *)

PROG

(Haskell)

a256839 n = a256839_list !! (n-1)

a256839_list = [x | x <- map (+ 14641) a000290_list, a010051' x == 1]

CROSSREFS

Cf. A010051, A000290; subsequence of A028916.

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).

Sequence in context: A186080 A013861 A291145 * A015312 A219068 A023333

Adjacent sequences:  A256836 A256837 A256838 * A256840 A256841 A256842

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Apr 11 2015

STATUS

approved

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Last modified January 19 21:35 EST 2018. Contains 297938 sequences.