A113150 Primes p such that p+1, p+2, p+3, p+4, p+5 are resp. 2-, 3-, 4-, 5-, 6-almost primes.

838561, 1190821, 2116921, 3318421, 3456721, 3720361, 3776881, 4185121, 5712241, 5811241, 6455521, 6457621, 6793321, 7450501, 7981801, 8321881, 8391001, 9903721, 11420041, 11980921, 12806041, 13311301, 13748521, 14326021, 14566261

Offset

1,1

Comments

All terms == 1 mod 12.

Links

Zak Seidov, Table of n, a(n) for n = 1..2000

Eric Weisstein's World of Mathematics, Almost Prime

Prog

(Magma) [ n: n in PrimesUpTo(15000000) | forall{ k: k in [1..5] | &+[ f[j, 2]: j in [1..#f] ] eq k+1 where f is Factorization(n+k) } ]; // Klaus Brockhaus, Jan 24 2011
(PARI) isok(n) = bigomega(n)==1 && bigomega(n+1)==2 && bigomega(n+2)==3 && bigomega(n+3)==4 && bigomega(n+4)==5 && bigomega(n+5)==6; \\ Michel Marcus, Oct 23 2014

Crossrefs

Cf. A005383, A112998, A113000, A113008.

Sequence in context: A254517 A254817 A305827 * A015390 A263038 A043623

Adjacent sequences: A113147 A113148 A113149 * A113151 A113152 A113153

Keyword

nonn

Author

Zak Seidov, Jan 04 2006

Extensions

Edited by Charles R Greathouse IV, Apr 20 2010

Status

approved