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

1,1

Links

Table of n, a(n) for n=1..38.

Makoto Kamada, Factorizations of 99...997.

Formula

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

Example

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

Mathematica

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

Crossrefs

Cf. A089675, A105068, A105069.

Sequence in context: A139560 A192095 A363710 * A336299 A206424 A117728

Adjacent sequences: A105077 A105078 A105079 * A105081 A105082 A105083

Keyword

nonn

Author

Parthasarathy Nambi, Apr 06 2005

Extensions

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

Status

approved