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 A077718 Primes which can be expressed as sum of distinct powers of 4. 13
 5, 17, 257, 277, 337, 1093, 1109, 1297, 1301, 1361, 4177, 4357, 4373, 4421, 5189, 5381, 5393, 5441, 16453, 16657, 16661, 17477, 17489, 17669, 17681, 17729, 17749, 20549, 20753, 21521, 21569, 21589, 21841, 65537, 65557, 65617, 65809, 66629 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primes whose base 4 representation contains only zeros and 1's. As a subsequence of primes in A000695, these could be called Moser-de Bruijn primes. See also A235461 for those terms whose base 4 representation also represents a prime in base 2. - M. F. Hasler, Jan 11 2014 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 MAPLE f:= proc(n) local L, x;   L:= convert(n, base, 2);   x:= 1+add(L[i]*4^i, i=1..nops(L));   if isprime(x) then x fi end proc: map(f, [\$1..1000]); # Robert Israel, Sep 06 2018 MATHEMATICA Select[Prime[Range[6650]], Max[IntegerDigits[#, 4]]<=1&] (* Jayanta Basu, May 22 2013 *) PROG (PARI) for(i=1, 999, isprime(b=vector(#b=binary(i), j, 4^(#b-j))*b~)&&print1(b", ")) \\ - M. F. Hasler, Jan 12 2014 CROSSREFS Cf. A020449, A000695, A077717, A077719, A077720, A077721, A077722. Sequence in context: A281504 A191500 A089894 * A235461 A271660 A273948 Adjacent sequences:  A077715 A077716 A077717 * A077719 A077720 A077721 KEYWORD nonn AUTHOR Amarnath Murthy, Nov 19 2002 EXTENSIONS More terms from Sascha Kurz, Jan 03 2003 STATUS approved

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Last modified June 20 15:52 EDT 2021. Contains 345165 sequences. (Running on oeis4.)