A350591 Primes with Hamming distance of one from those in A320102.
3, 7, 13, 19, 37, 43, 89, 101, 113, 139, 151, 157, 181, 197, 283, 311, 313, 347, 353, 383, 397, 409, 421, 433, 449, 479, 523, 563, 571, 593, 607, 619, 631, 643, 661, 673, 727, 751, 769, 811, 823, 829, 883, 911, 937, 967, 971, 983, 1009, 1013, 1021, 1049, 1097
Offset: 1
Crossrefs
Cf. A320102.
Programs
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Python
from sympy import isprime, primerange def ok320102(p): onelocs = (i for i, bi in enumerate(bin(p)[2:][::-1]) if bi == '1') return not any(isprime(p-2**k) for k in onelocs) def aupto(limit): alst = [] A350591 = set(p for p in primerange(1, limit+1) if ok320102(p)) for p in primerange(1, limit+1): onelocs = (i for i, bi in enumerate(bin(p)[2:][::-1]) if bi == '1') if any(p-2**k in A350591 for k in onelocs): alst.append(p) return alst print(aupto(770)) # Michael S. Branicky, Jan 10 2022
Extensions
a(27) and beyond from Michael S. Branicky, Jan 10 2022
Comments