A113150 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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.

MATHEMATICA

Select[Prime[Range[10^6]], PrimeOmega[#+1]==2 && PrimeOmega[#+2]==3 && PrimeOmega[#+3]==4 && PrimeOmega[#+4]==5 && PrimeOmega[#+5]==6&] (* James C. McMahon, Jun 16 2024 *)

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