A252089 Primes p such that p + 26 is prime.

3, 5, 11, 17, 41, 47, 53, 71, 83, 101, 113, 131, 137, 167, 173, 197, 251, 257, 281, 311, 347, 353, 383, 431, 461, 521, 587, 593, 617, 647, 683, 701, 743, 761, 797, 827, 857, 881, 911, 941, 971, 983, 1013, 1061, 1091, 1097, 1103, 1187, 1223, 1277, 1301, 1373

Offset

1,1

Links

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Example

17 is in this sequence because 17+26 = 43 is prime.
431 is in this sequence because 431+26 = 457 is prime.

Mathematica

Select[Prime[Range[200]], PrimeQ[# + 26] &]

Prog

(Magma) [NthPrime(n): n in [1..250] | IsPrime(NthPrime(n)+26)];

Crossrefs

Cf. sequences of the type p+n are primes: A001359 (n=2), A023200 (n=4), A023201 (n=6), A023202 (n=8), A023203 (n=10), A046133 (n=12), A153417 (n=14), A049488 (n=16), A153418 (n=18), A153419 (n=20), A242476 (n=22), A033560 (n=24), this sequence (n=26), A252090 (n=28), A049481 (n=30), A049489 (n=32), A252091 (n=34), A156104 (n=36); A062284 (n=50), A049490 (n=64), A156105 (n=72), A156107 (n=144).

Sequence in context: A007455 A034729 A115786 * A128550 A096479 A129809

Adjacent sequences: A252086 A252087 A252088 * A252090 A252091 A252092

Keyword

nonn,easy

Author

Vincenzo Librandi, Dec 14 2014

Status

approved