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 A045941 Numbers m such that the factorizations of m..m+4 have the same number of primes (including multiplicities). 15
 602, 2522, 2523, 4202, 4921, 4922, 5034, 5282, 7730, 12122, 18241, 18242, 18571, 19129, 21931, 23161, 23305, 25203, 25553, 25554, 27290, 27291, 29233, 30354, 30793, 32035, 33843, 34561, 35124, 35714, 36001, 36835, 40313, 40314, 40394, 42182, 45265, 52854 (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], AppendTo[lst, n]], {n, 0, 9!}]; lst (* Vladimir Joseph Stephan Orlovsky, May 12 2010 *) Flatten[Position[Partition[Table[PrimeOmega[n], {n, 55000}], 5, 1], _?(Length[ Union[#]]==1&), {1}, Heads->False]] (* Harvey P. Dale, Nov 29 2015 *) CROSSREFS Numbers m through m+k have the same number of prime divisors (with multiplicity): A045920 (k=1), A045939 (k=2), A045940 (k=3), this sequence (k=4), A045942 (k=5), A123103 (k=6), A123201 (k=7), A358017 (k=8), A358018 (k=9), A358019 (k=10). Sequence in context: A045940 A124057 A252435 * A268588 A251462 A356893 Adjacent sequences: A045938 A045939 A045940 * A045942 A045943 A045944 KEYWORD nonn AUTHOR David W. Wilson STATUS approved

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Last modified September 23 19:42 EDT 2023. Contains 365554 sequences. (Running on oeis4.)