A045942 Numbers m such that the factorizations of m..m+5 have the same number of primes (including multiplicities).

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

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

Numbers m through m+k have the same number of prime divisors (with multiplicity): A045920 (k=1), A045939 (k=2), A045940 (k=3), A045941 (k=4), this sequence (k=5), A123103 (k=6), A123201 (k=7), A358017 (k=8), A358018 (k=9), A358019 (k=10).

Sequence in context: A144971 A217588 A264339 * A375239 A308735 A096026

Adjacent sequences: A045939 A045940 A045941 * A045943 A045944 A045945

Keyword

nonn

Author

David W. Wilson

Status

approved