A241240 Primes obtained by merging 4 successive digits in decimal expansion of sqrt(3).

3527, 4463, 587, 5381, 8069, 4519, 1933, 3301, 3, 37, 811, 1867, 6703, 9437, 4373, 8093, 9323, 101, 8467, 1531, 6689, 3797, 367, 9049, 499, 9859, 9467, 347, 1009, 947, 1871, 8719, 8329, 3299, 7789, 2887, 4463, 8329, 2917, 9173, 6679, 8353, 6661, 8431, 8089, 9437

Offset: 1

Author

K. D. Bajpai, Apr 17 2014

Keywords

• nonn
• base

Comments

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

Examples

			a(1) = 3527 which is prime. It is the first occurrence of 4 successive digit prime in decimal expansion of sqrt(3), i.e., 1.73205080756887729(3527)44634151...
		

Links

• K. D. Bajpai, Table of n, a(n) for n = 1..3094

Crossrefs

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

Programs

Mathematica

t=Sqrt[3];With[{k=FromDigits/@Partition[RealDigits[t,10,25000][[1]],4,1]},Select[k,PrimeQ]]