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A105069 Number of distinct prime divisors of 100^n - 3. 3
1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 2, 2, 3, 3, 3, 4, 2, 4, 3, 5, 5, 4, 4, 5, 4, 4, 2, 4, 5, 4, 3, 4, 3, 5, 5, 3, 5, 5, 4, 4, 5, 5, 2, 3, 6, 4, 4, 8, 4, 4, 6, 3, 4, 6, 6, 5, 6, 5, 5, 3, 3, 7, 8, 5, 5, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..66.

FORMULA

a(n) = A001221(100^n-3).

a(n) = A105068(2*n). - Amiram Eldar, Jan 25 2020

EXAMPLE

If n = 1, then 100^1 - 3 = 97 which is prime so the first term is 1.

MAPLE

A105069 := proc(n) 100^n-3 ; numtheory[factorset](%) ; nops(%) ; end proc: # R. J. Mathar, Aug 24 2011

MATHEMATICA

Table[PrimeNu[(100)^n - 3], {n, 1, 50}] (* G. C. Greubel, May 07 2017 *)

CROSSREFS

Cf. A001221, A105068.

Sequence in context: A060447 A268045 A118177 * A172008 A100825 A216452

Adjacent sequences:  A105066 A105067 A105068 * A105070 A105071 A105072

KEYWORD

nonn,more

AUTHOR

Parthasarathy Nambi, Apr 05 2005

EXTENSIONS

More terms from Amiram Eldar, Jan 25 2020

a(61)-a(66) from Jinyuan Wang, Apr 01 2020

STATUS

approved

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Last modified August 10 00:47 EDT 2020. Contains 336359 sequences. (Running on oeis4.)