A115453 Primes formed from the initial digits of sqrt(2).

1414213562373095048801688724209698078569671875376948073

Offset: 1

Author

Eric W. Weisstein, Jan 22 2006

Keywords

• nonn
• base
• bref

Comments

A115377 gives the number of digits in a(n).

Next terms have 97, 225, 11260 and 11540 digits and are therefore too big to include on a single line.

Links

• Amiram Eldar, Table of n, a(n) for n = 1..3
• Tanya Khovanova, Non Recursions.
• Eric Weisstein's World of Mathematics, Constant Primes.
• Index entries for one-term sequences.

Crossrefs

Cf. A002193, A115377.

Programs

Mathematica

Select[Floor[Sqrt[2]*10^Range[0,225]], PrimeQ] (* Amiram Eldar, Jul 09 2025 *)

Formula

a(n) = floor(sqrt(2) * 10^(A115377(n)-1)). - Amiram Eldar, Jul 09 2025

Extensions

Definition corrected by Charles R Greathouse IV, Jul 24 2009