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 A045942 Numbers m such that the factorizations of m..m+5 have the same number of primes (including multiplicities). 13
 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 (list; graph; refs; listen; history; text; internal format)
 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 * A308735 A096026 A278003 Adjacent sequences: A045939 A045940 A045941 * A045943 A045944 A045945 KEYWORD nonn AUTHOR David W. Wilson STATUS approved

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Last modified November 30 18:14 EST 2023. Contains 367461 sequences. (Running on oeis4.)