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A242231 Primes p of the form p^2 + q - 1 where p < q are consecutive primes. 2
13, 31, 59, 307, 383, 557, 997, 1409, 1723, 3541, 5113, 5407, 6323, 6977, 8017, 10303, 19469, 52673, 94559, 109897, 151717, 158009, 187927, 193163, 249503, 274069, 326617, 361807, 383791, 419261, 427067, 546863, 573809, 592133, 636017, 684757, 735307, 738743 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

K. D. Bajpai, Table of n, a(n) for n = 1..6900

EXAMPLE

a(1) = 13 = 3^2 + 5 - 1: 13 is prime, 3 and 5 are consecutive primes.

a(2) = 31 = 5^2 + 7 - 1: 31 is prime, 5 and 7 are consecutive primes.

MAPLE

with(numtheory): A242231:= proc()local k ; k:=(ithprime(x)^2+ithprime(x+1)-1); if  isprime(k) then RETURN (k); fi; end: seq(A242231 (), x=1..500);

MATHEMATICA

A242231 = {}; Do[p = Prime[n]^2 + Prime[n + 1] - 1; If[PrimeQ[p], AppendTo[A242231, p]], {n, 500}]; A242231

CROSSREFS

Cf. A242230, A000040, A241945, A045636, A214723, A214511.

Sequence in context: A166143 A065768 A155820 * A330855 A268927 A061239

Adjacent sequences:  A242228 A242229 A242230 * A242232 A242233 A242234

KEYWORD

nonn

AUTHOR

K. D. Bajpai, May 08 2014

STATUS

approved

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Last modified June 13 05:33 EDT 2021. Contains 344981 sequences. (Running on oeis4.)