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A279956 Primes p such that every suffix of the base-4 representation of p is either a prime or 1. 1

%I #10 Mar 07 2017 00:32:23

%S 2,3,5,7,11,13,17,19,23,29,37,43,53,59,61,67,71,83,101,107,131,139,

%T 151,157,181,193,197,199,211,229,251,257,263,269,293,317,449,467,523,

%U 541,571,613,619,643,709,769,773,787,797,811,821,827,829,839,907,919,967,997,1019,1031,1061

%N Primes p such that every suffix of the base-4 representation of p is either a prime or 1.

%H Indranil Ghosh, <a href="/A279956/b279956.txt">Table of n, a(n) for n = 1..807</a>

%e 107 is a term in the sequence, since 107_10=1223_4, and 223_4, 23_4 and 3_4 (43_10, 11_10, and 3_10) are all prime.

%Y Cf. A278454 for base 2, A278694 for base 3, A278698 for base 5, and A033664 for base 10.

%Y Also, cf. A278699 for base 4, where the final suffix cannot be 1 (it must be a prime, i.e., 2 or 3).

%K nonn,base

%O 1,1

%A _Randy L. Ekl_, Dec 23 2016

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Last modified April 28 13:50 EDT 2024. Contains 372087 sequences. (Running on oeis4.)