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A113150
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Primes p such that p+1, p+2, p+3, p+4, p+5 are resp. 2-, 3-, 4-, 5-, 6-almost primes.
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2
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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; internal format)
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OFFSET
| 1,1
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COMMENTS
| All terms == 1 mod 60.
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LINKS
| Zak Seidov, Table of n, a(n) for n = 1..2000
Eric Weisstein's World of Mathematics, Almost Prime
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MATHEMATICA
| Do[If[Table[Total[FactorInteger[p+k]][[2]], {k, 0, 5}]=={1, 2, 3, 4, 5, 6}, Print[p]], {p, 838501, 14834831, 60}]
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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
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CROSSREFS
| Cf. A005383, A112998, A113000, A113008.
Sequence in context: A023347 A063875 A179727 * A015390 A043623 A185520
Adjacent sequences: A113147 A113148 A113149 * A113151 A113152 A113153
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KEYWORD
| nonn
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com), Jan 04 2006
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EXTENSIONS
| Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Apr 20 2010
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