A105069 -id:A105069 - cp's OEIS frontend

A105080 Number of distinct prime divisors of 10000^n - 3.

2, 2, 2, 4, 4, 2, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 5, 4, 5, 3, 4, 8, 4, 3, 6, 5, 5, 3, 7, 5, 3, 5, 1, 4, 6, 5

Offset: 1

Parthasarathy Nambi, Apr 06 2005

nonn

			The number of distinct prime divisors of 10000^1 - 3 is 2, so the first term is 2.

Makoto Kamada, Factorizations of 99...997.

Cf. A089675, A105068, A105069.

PrimeNu[#]&/@(10000^Range[10]-3) (* The program generates the first 10 terms of the sequence. *) (* Harvey P. Dale, Feb 05 2023 *)

A105080(n) = A105068(4n) = A105069(2n). - Robert G. Wilson v, Apr 08 2005

More terms from Robert G. Wilson v, Apr 08 2005

A105079 Number of distinct prime divisors of 1000^n - 3 where n = 1,2,3,....

Original entry on oeis.org

1, 2, 3, 2, 4, 4, 2, 2, 4, 3, 3, 4, 5, 5, 5, 5, 5, 2, 2, 4, 3, 3, 6, 3, 6, 4, 3, 5, 6, 6, 5, 8, 5, 6, 3, 6, 4, 6, 2, 3, 5, 8, 3, 3, 2, 4, 5, 4, 5, 3, 6, 6, 5, 7, 4, 7, 4, 4, 2, 8

Offset: 1

Parthasarathy Nambi, Apr 06 2005

nonn

			If n=1, then 1000^n - 3 = 1000^1 - 3 = 997 which is a prime, so the first term is 1.

Cf. A105069, A105068.

cp's OEIS Frontend

A105080 Number of distinct prime divisors of 10000^n - 3.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Mathematica