cp's OEIS Frontend

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.

A091021 Primes p=prime(k) such that in binary representation k is a substring of p.

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%I A091021 #14 Jan 03 2025 17:47:25
%S A091021 2,11,13,47,127,131,139,167,227,229,419,421,8419,15391,18503,23053,
%T A091021 31333,32119,642049,771769,1240081,2545453,2951341,9677999,11390809,
%U A091021 22436899,33056171,63701437,71298761,465462769,989883217,1490754379,1775394377,1775394389
%N A091021 Primes p=prime(k) such that in binary representation k is a substring of p.
%F A091021 a(n) = A000040(A091020(n)).
%F A091021 A091020(n) = A049084(a(n)).
%e A091021 229 = A000040(50): 50->110010, 229->11100101 = 1'110010'1, therefore 229 is a term.
%o A091021 (Python)
%o A091021 from sympy import primerange
%o A091021 [print(i, end=', ') for n, i in enumerate(primerange(1, 10**7)) if bin(n+1)[2:] in bin(i)[2:]]; # _Nicholas Stefan Georgescu_, Jan 03 2025
%Y A091021 Cf. A007088, A004676.
%K A091021 nonn,base
%O A091021 1,1
%A A091021 _Reinhard Zumkeller_, Dec 14 2003
%E A091021 a(22)-a(32) from _Donovan Johnson_, May 03 2010
%E A091021 a(33)-a(34) from _Donovan Johnson_, May 08 2012