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