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A241240 Primes obtained by merging 4 successive digits in decimal expansion of sqrt(3). 1

%I #11 Dec 09 2014 03:33:31

%S 3527,4463,587,5381,8069,4519,1933,3301,3,37,811,1867,6703,9437,4373,

%T 8093,9323,101,8467,1531,6689,3797,367,9049,499,9859,9467,347,1009,

%U 947,1871,8719,8329,3299,7789,2887,4463,8329,2917,9173,6679,8353,6661,8431,8089,9437

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

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

%H K. D. Bajpai, <a href="/A241240/b241240.txt">Table of n, a(n) for n = 1..3094</a>

%e 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...

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

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

%K nonn,base

%O 1,1

%A _K. D. Bajpai_, Apr 17 2014

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Last modified April 23 06:45 EDT 2024. Contains 371906 sequences. (Running on oeis4.)