This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A376235 #6 Oct 25 2024 09:32:53 %S A376235 311,317,347,349,359,373,461,467,571,599,619,683,691,739,797,811,821, %T A376235 839,853,857,881,907,937,977,991,1019,1021,1103,1117,1181,1223,1229, %U A376235 1237,1279,1303,1307,1319,1381,1427,1429,1433,1471,1481,1489,1531,1559,1579,1607,1613,1619,1621,1637,1663 %N A376235 Prime numbers with Hamming weight neither prime nor a power of 2. %C A376235 Surprisingly, all primes less than 311 have a Hamming weight (sum of their binary digits: A000120) equal to either a prime or a power of two (cf. A174090). But for larger primes, exceptions become more and more frequent. %o A376235 (PARI) select( {is_A376235(n)=!is_A174090(hammingweight(n))&&isprime(n)}, [0..2222]) %Y A376235 Cf. A000120 (binary or Hamming weight), A174090 (union of primes and powers of two). %K A376235 nonn %O A376235 1,1 %A A376235 _M. F. Hasler_, Oct 24 2024