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A159049 Primes of the form (5+ a triangular number A000217). 2
5, 11, 41, 71, 83, 281, 383, 1181, 1601, 2351, 2633, 3491, 3833, 4283, 5783, 6221, 6791, 8783, 10301, 10883, 11633, 12251, 14033, 15581, 18341, 26111, 26801, 30881, 31883, 34721, 38231, 41333, 41621, 42491, 43961, 46061, 47591, 53633, 60383 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

11 is in the list because it is A000217(3)+5 and a prime. 41=36+5= A000217(8)+5 is a prime. 71=66+5=A000217(11)+5 is a prime.

MATHEMATICA

s=0; lst={}; Do[s+=n; p=s+5; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 7!}]; lst

Select[Accumulate[Range[0, 500]]+5, PrimeQ] (* Harvey P. Dale, Jul 08 2017 *)

PROG

(PARI) for(n=1, 500, if(isprime(k=n*(n+1)/2 + 5), print1(k, ", "))) \\ G. C. Greubel, Jul 13 2017

CROSSREFS

Cf. A055469, A055472, A159047, A159048

Sequence in context: A089441 A046121 A023271 * A047976 A006382 A295504

Adjacent sequences:  A159046 A159047 A159048 * A159050 A159051 A159052

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Apr 03 2009

EXTENSIONS

Definition rephrased, R. J. Mathar, Apr 05 2009

STATUS

approved

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Last modified February 18 05:40 EST 2019. Contains 320245 sequences. (Running on oeis4.)