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A145474 Primes p such that (13+p)/2 is prime. 2
13, 61, 73, 109, 181, 193, 241, 313, 349, 373, 409, 433, 541, 601, 613, 661, 733, 829, 853, 1033, 1069, 1129, 1201, 1213, 1249, 1453, 1489, 1609, 1693, 1741, 1753, 1801, 1861, 2029, 2053, 2089, 2113, 2161, 2221, 2293, 2389, 2593, 2749, 2833, 2953, 3049 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All these primes are congruent to 1 mod 12.

LINKS

Edward Jiang, Table of n, a(n) for n = 1..10000

MAPLE

select(t -> isprime(t) and isprime((13+t)/2), [seq(12*k+1, k=1..100)]); # Robert Israel, Aug 05 2014

MATHEMATICA

aa = {}; k = 13; Do[If[PrimeQ[(k + Prime[n])/2], AppendTo[aa, Prime[n]]], {n, 1, 500}]; aa

PROG

(PARI)

forprime(p=3, 10^4, if(isprime((13+p)/2), print1(p, ", "))) \\ Derek Orr, Aug 05 2014

CROSSREFS

Cf. A092109, A145471-A145480.

Sequence in context: A244923 A146764 A336794 * A217606 A002647 A306127

Adjacent sequences:  A145471 A145472 A145473 * A145475 A145476 A145477

KEYWORD

nonn

AUTHOR

Artur Jasinski, Oct 11 2008

STATUS

approved

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Last modified May 6 19:52 EDT 2021. Contains 343586 sequences. (Running on oeis4.)