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

1,1

Comments

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

Links

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

Example

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...

Mathematica

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

Crossrefs

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

Sequence in context: A264450 A187726 A267125 * A035897 A064256 A232555

Adjacent sequences: A241237 A241238 A241239 * A241241 A241242 A241243

Keyword

nonn,base

Author

K. D. Bajpai, Apr 17 2014

Status

approved