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.

A116493 Numbers k such that the difference between k-th prime and next prime is 70.

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%I A116493 #23 Aug 21 2024 12:27:49
%S A116493 15783,15927,16879,18266,19466,22292,26186,33806,37668,38333,38432,
%T A116493 42892,43407,45053,52934,54738,54854,56812,57314,58394,61165,72298,
%U A116493 79627,80258,81214,83711,83730,83886,89236,92187,92609,94910,95317,95807,98103,100205,106516
%N A116493 Numbers k such that the difference between k-th prime and next prime is 70.
%H A116493 Jinyuan Wang, <a href="/A116493/b116493.txt">Table of n, a(n) for n = 1..5000</a>
%H A116493 <a href="/index/Pri#gaps">Index entries for primes, gaps between</a>
%F A116493 A204792(n) = prime(a(n)). - _R. J. Mathar_, Apr 30 2024
%e A116493 p(15784) - p(15783) = 173429 - 173359 = 70.
%t A116493 Select[Range[95317],NextPrime[Prime[#]]-Prime[#]==70&] (* _James C. McMahon_, Aug 20 2024 *)
%o A116493 (PARI) lista(nn) = {pr = primes(nn); for (n = 1, nn-1, if (pr[n+1] - pr[n] == 70, print1(n, ", ")););} \\ _Michel Marcus_, Oct 09 2013
%Y A116493 Cf. A204792, A116495, A116496, A116497.
%K A116493 nonn
%O A116493 1,1
%A A116493 _Zak Seidov_, Feb 17 2006
%E A116493 Name edited by _James C. McMahon_, Aug 20 2024