A241244 Primes obtained by merging 4 successive digits in decimal expansion of sqrt(5).

6067, 7499, 8969, 4091, 9173, 8731, 5209, 9941, 2749, 4969, 5081, 5077, 773, 4253, 2677, 4447, 3863, 2153, 7817, 3191, 9187, 1879, 6581, 8053, 1753, 5003, 2339, 9241, 3253, 2539, 2887, 6299, 8161, 7759, 2371, 3907, 7297, 8641, 2689, 4099, 991, 3169, 1693, 7019

Offset: 1

Author

K. D. Bajpai, Apr 18 2014

Keywords

• nonn
• base

Comments

Some terms in the sequence have fewer than 4 digits because leading zeros are permitted.

Examples

			a(1) = 6067 which is prime. It is the first occurrence of 4 successive digit prime in decimal expansion of sqrt(5), i.e., 2.23(6067)9774997896964091736687312762354...
		

Links

• K. D. Bajpai, Table of n, a(n) for n = 1..2940

Crossrefs

Cf. A198161, A198162, A198163, A198164, A198169, A241149.

Programs

Mathematica

t=Sqrt[5];With[{k=FromDigits/@Partition[RealDigits[t,10,25000][[1]],4,1]},Select[k,PrimeQ]]