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.

A309092 Integers whose hexadecimal representation contains a run of zeros of prime length.

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%I A309092 #20 Jul 17 2019 09:08:16
%S A309092 256,512,768,1024,1280,1536,1792,2048,2304,2560,2816,3072,3328,3584,
%T A309092 3840,4096,4097,4098,4099,4100,4101,4102,4103,4104,4105,4106,4107,
%U A309092 4108,4109,4110,4111,4352,4608,4864,5120,5376,5632,5888,6144,6400,6656,6912,7168
%N A309092 Integers whose hexadecimal representation contains a run of zeros of prime length.
%e A309092 256 = 100_(16) is a term because 100 has a run of two zeros, and two is prime. 258 = 102_(16) is not a term, because its only run of zeros is of length 1, which is not prime.
%t A309092 Select[Range@ 7168, Select[Split@ IntegerDigits[#, 16], #[[1]] == 0 && PrimeQ@ Length@ # &] != {} &] (* _Giovanni Resta_, Jul 16 2019 *)
%o A309092 (Python)
%o A309092 from re import split
%o A309092 from sympy import isprime
%o A309092 seq_list, n = [],1
%o A309092 while len(seq_list) < 10000:
%o A309092     for d in split('[1-9]+|[a-f]+', format(n,'x')):
%o A309092         if isprime(len(d)):
%o A309092             seq_list.append(n)
%o A309092     n += 1
%Y A309092 Cf. A110529, A319302.
%K A309092 nonn,easy,base
%O A309092 1,1
%A A309092 _W. Zane Billings_, Jul 11 2019