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A045941 Numbers n such that the factorizations of n through n+4 have the same number of primes (including multiplicities). 8
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

Cf. A045942, A123103, A123201.

Sequence in context: A045940 A124057 A252435 * A268588 A251462 A281561

Adjacent sequences:  A045938 A045939 A045940 * A045942 A045943 A045944

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified September 20 12:31 EDT 2017. Contains 292271 sequences.