login
A095320
Primes in whose binary expansion the number of 1-bits is > number of 0-bits minus 3.
3
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 263, 269
OFFSET
1,1
COMMENTS
Differs from primes (A000040) first time at n=55, where a(55)=263, while A000040(55)=257, as 257 whose binary expansion is 100000001, with 2 1-bits and 7 0-bits is the first prime excluded from this sequence. Note that 129 (10000001 in binary, 2 1-bits and 6 0-bits) is not prime.
MATHEMATICA
Select[Prime[Range[60]], DigitCount[#, 2, 1]>DigitCount[#, 2, 0]-3&] (* Harvey P. Dale, Jul 24 2013 *)
PROG
(PARI)forprime(p=2, 269, v=binary(p); s=0; for(k=1, #v, s+=if(v[k]==1, +1, -1)); if(s>-3, print1(p, ", "))) \\ Washington Bomfim, Jan 13 2011
CROSSREFS
Complement of A095321 in A000040. Subset: A095316.
Cf. A095330.
Sequence in context: A324050 A064555 A216887 * A238853 A077359 A057448
KEYWORD
nonn,base,easy
AUTHOR
Antti Karttunen, Jun 04 2004
STATUS
approved