A228241 Log 10-primes: primes in the initial decimal digits of log(10).

2, 23, 2302585092994045684017991454684364207601

Offset: 1

Author

Eric W. Weisstein, Aug 17 2013

Keywords

• nonn
• base

Comments

The next term (a(4)) has 242 digits. - Harvey P. Dale, Sep 13 2021

Links

• Eric W. Weisstein, Table of n, a(n) for n = 1..5
• Eric Weisstein's World of Mathematics, Constant Primes
• Eric Weisstein's World of Mathematics, Integer Sequence Primes
• Eric Weisstein's World of Mathematics, Natural Logarithm of 10 Digits

Crossrefs

Cf. A228240 (integer lengths of log(10)-primes).

Cf. A002392 (decimal expansion of log(10)).

Programs

Mathematica

Module[{nn=500,l10},l10=RealDigits[Log[10],10,nn][[1]];Select[ Table[ FromDigits[ Take[l10,n]],{n,nn}],PrimeQ]] (* Harvey P. Dale, Sep 13 2021 *)