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A046460 Number of prime factors of concatenation of numbers from 1 up to n, with multiplicity. 10
0, 3, 2, 2, 3, 8, 2, 5, 4, 3, 6, 6, 3, 3, 3, 4, 5, 6, 6, 10, 8, 6, 4, 6, 5, 9, 8, 7, 4, 7, 3, 6, 6, 2, 8, 9, 4, 4, 6, 9, 5, 7, 4, 7, 10, 7, 5, 8, 6, 10, 3, 9, 8, 14, 5, 5, 6, 4, 4, 8, 3, 8, 5, 10, 6, 8, 3, 10, 7, 6, 6, 7, 3, 9, 6, 6, 5, 6, 6, 10, 6, 7, 6, 7, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Carlos Rivera, Puzzle 8. Primes by Listing, The Prime Puzzles & Problems Connection.
MATHEMATICA
Join[{1}, Table[PrimeOmega[FromDigits[Flatten[IntegerDigits[Range[i]]]]], {i, 2, 35}]] (* Jayanta Basu, Jun 02 2013 *)
PROG
(PARI) conc(n) = my(s=""); for(k=1, n, s=Str(s, k)); eval(s); \\ A007908
a(n) = bigomega(conc(n)); \\ Michel Marcus, Oct 16 2019
CROSSREFS
Sequence in context: A248756 A059942 A032450 * A327661 A117643 A141862
KEYWORD
nonn,hard,base
AUTHOR
Patrick De Geest, Aug 15 1998
EXTENSIONS
Offset 1 and a(1)=0 from Michel Marcus, Oct 16 2019
More terms from Sean A. Irvine, Apr 10 2021
STATUS
approved

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Last modified August 29 17:19 EDT 2024. Contains 375518 sequences. (Running on oeis4.)