A241959 Primes p such that p+2, p+4, p+6, p+8, p+10 are semiprimes.

211, 1381, 3089, 5087, 10399, 18803, 26903, 27031, 31583, 41161, 47189, 49081, 53759, 62939, 63949, 76801, 87383, 93739, 98491, 107509, 109397, 113341, 128099, 143093, 158699, 182747, 186889, 193727, 197507, 201413, 204331, 209477, 239087, 252949, 255989, 256079

Offset

1,1

Comments

Each term in the sequence is prime p which yields 5 semiprimes in arithmetic progression with common difference of 2.

Links

K. D. Bajpai, Table of n, a(n) for n = 1..500

Example

a(1) = 211 is prime: 213, 215, 217, 219 and 221 are semiprimes.
a(2) = 1381 is prime: 1383, 1385, 1387, 1389 and 1391 are semiprimes.

Maple

with(numtheory): A241959:= proc() local p; p:=ithprime(x); if  bigomega(p+2)=2 and bigomega(p+4)=2 and bigomega(p+6)=2 and bigomega(p+8)=2 and bigomega(p+10)=2 then RETURN (p); fi; end: seq(A241959 (), x=1..100000);

Crossrefs

Cf. A001358, A082919, A092128, A241483.

Sequence in context: A342508 A104299 A032632 * A179595 A137872 A053072

Adjacent sequences: A241956 A241957 A241958 * A241960 A241961 A241962

Keyword

nonn

Author

K. D. Bajpai, May 03 2014

Status

approved