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A241244 Primes obtained by merging 4 successive digits in decimal expansion of sqrt(5). 1

%I #9 Apr 23 2014 16:10:00

%S 6067,7499,8969,4091,9173,8731,5209,9941,2749,4969,5081,5077,773,4253,

%T 2677,4447,3863,2153,7817,3191,9187,1879,6581,8053,1753,5003,2339,

%U 9241,3253,2539,2887,6299,8161,7759,2371,3907,7297,8641,2689,4099,991,3169,1693,7019

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

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

%H K. D. Bajpai, <a href="/A241244/b241244.txt">Table of n, a(n) for n = 1..2940</a>

%e 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...

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

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

%K nonn,base

%O 1,1

%A _K. D. Bajpai_, Apr 18 2014

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)