A262284 Primes whose binary expansion begins 101.

5, 11, 23, 41, 43, 47, 83, 89, 163, 167, 173, 179, 181, 191, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..20000

Maple

lis:=[]; q:=5;
for i from 1 to 10 do for j from 1 to 2^i-1 do
if isprime(q*2^i+j) then lis:=[op(lis), q*2^i+j]; fi; od: od:
lis;

Mathematica

Select[Flatten[Table[FromDigits[#, 2]&/@(Join[{1, 0, 1}, #]&/@Tuples[{0, 1}, n]), {n, 0, 10}]], PrimeQ] (* Harvey P. Dale, Oct 17 2021 *)

Crossrefs

Primes whose binary expansion begins with binary expansion of 1, 2, 3, 4, 5, 6, 7: A000040, A080165, A080166, A262286, A262284, A262287, A262285.

Suggested by A262350.

Column k=5 of A262365.

Sequence in context: A143125 A147081 A046628 * A118439 A343711 A323042

Adjacent sequences: A262281 A262282 A262283 * A262285 A262286 A262287

Keyword

nonn,base

Author

N. J. A. Sloane, Sep 19 2015

Status

approved