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.

A154114 Primes p such that p + 9699690 is also prime, where 9699690 is the 8th primorial number A002110(8).

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%I A154114 #28 Mar 15 2025 06:38:33
%S A154114 23,37,41,43,59,73,79,83,109,113,127,137,151,163,197,199,223,227,229,
%T A154114 233,239,251,263,269,283,313,337,349,373,383,389,409,421,449,457,463,
%U A154114 479,523,557,599,617,647,691,727,739,743,751,757,761,773,797,811,821
%N A154114 Primes p such that p + 9699690 is also prime, where 9699690 is the 8th primorial number A002110(8).
%H A154114 Amiram Eldar, <a href="/A154114/b154114.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..2000 from G. C. Greubel)
%F A154114 a(n) >> n log^2 n. - _Charles R Greathouse IV_, Sep 02 2016
%t A154114 lst={};Do[p=Prime[n];If[PrimeQ[p+9699690],AppendTo[lst,p]],{n,6!}];lst
%t A154114 Select[Prime[Range[200]],PrimeQ[#+9699690]&]  (* _Harvey P. Dale_, Apr 26 2011 *)
%o A154114 (Magma) [p: p in PrimesUpTo(1000) | IsPrime(p+9699690)]; // _Vincenzo Librandi_, Sep 02 2016
%o A154114 (PARI) is(n)=isprime(n+9699690) && isprime(n) \\ _Charles R Greathouse IV_, Sep 02 2016
%Y A154114 Cf. A001359, A002110, A023201, A049481, A049482, A049483, A049484, A049485.
%K A154114 nonn
%O A154114 1,1
%A A154114 _Vladimir Joseph Stephan Orlovsky_, Jan 04 2009