

A045942


Numbers n such that the factorizations of n through n+5 have the same number of primes (including multiplicities).


7



2522, 4921, 18241, 25553, 27290, 40313, 90834, 95513, 98282, 98705, 117002, 120962, 136073, 136865, 148682, 153794, 181441, 181554, 185825, 204323, 211673, 211674, 212401, 215034, 216361, 231002, 231665, 234641, 236041, 236634, 266282, 281402, 284344, 285410
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OFFSET

1,1


LINKS

Donovan Johnson, Table of n, a(n) for n = 1..10000


MATHEMATICA

f[n_]:=Plus@@Last/@FactorInteger[n]; lst={}; lst={}; Do[If[f[n]==f[n+1]==f[n+2]==f[n+3]==f[n+4]==f[n+5], AppendTo[lst, n]], {n, 0, 10!}]; lst (* Vladimir Joseph Stephan Orlovsky, May 12 2010 *)


CROSSREFS

Cf. similar sequences from n to: A045941 (n+4), A123103 (n+6), A123201 (n+7).
Sequence in context: A144971 A217588 A264339 * A096026 A278003 A031984
Adjacent sequences: A045939 A045940 A045941 * A045943 A045944 A045945


KEYWORD

nonn


AUTHOR

David W. Wilson


STATUS

approved



