A114484 Number of decimal digits in Fermat(10^n).

1, 309, 381600854690147056244358827361

Offset: 0

Author

Eric W. Weisstein, Nov 30 2005

Keywords

• nonn
• base

Comments

Next term a(3) has 301 digits.

Links

• Amiram Eldar, Table of n, a(n) for n = 0..3
• Eric Weisstein's World of Mathematics, Fermat Number.

Crossrefs

Subsequence of A057755. - Arkadiusz Wesolowski, Jun 30 2011

Cf. A000021, A000215, A011557, A055642.

Programs

Mathematica

Block[{$MaxExtraPrecision = Infinity}, Table[1 + Floor[2^10^n Log[10, 2]], {n, 0, 2}]]

Formula

a(n) = A057755(10^n) = A055642(A000215(A011557(n))). - Amiram Eldar, Jul 17 2025