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A144759 Primes the squares of which are Fibbinary numbers (A003714). 1

%I #13 Feb 16 2016 05:14:38

%S 2,3,13,17,23,47,137,257,521,577,727,739,1033,1153,1181,1471,2081,

%T 2113,3251,4129,4253,8209,8329,8353,11597,11677,11779,11971,12503,

%U 16417,17053,18433,18583,24799,26317,32801,32833,35267,35393,46703,52177,65537,66569,74257,92801,98327

%N Primes the squares of which are Fibbinary numbers (A003714).

%H Robert Israel, <a href="/A144759/b144759.txt">Table of n, a(n) for n = 1..505</a>

%e a(1)=2 since 2^2 is in A003714.

%p fibbin:= proc(n) Bits:-Xor(n,2*n) = 3*n end proc:

%p select(t -> isprime(t) and fibbin(t^2), [2,seq(i,i=3..10^5,2)]); # _Robert Israel_, Feb 15 2016

%o (PARI) msb(n)=my(k=1); while(k<=n, k<<=1); k>>1;

%o lista(nn) = {forprime(p=1, nn, n=p^2; k=bitand(n, n<<1); if(k, n=bitor(n, msb(k)-1), print1(p, ", ")););} \\ _Michel Marcus_, Feb 15 2016

%Y Cf. A003714, A001248.

%K nonn,base

%O 1,1

%A _Vladimir Shevelev_, Sep 20 2008

%E More terms from _Michel Marcus_, Feb 15 2016

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Last modified August 17 14:26 EDT 2024. Contains 375227 sequences. (Running on oeis4.)