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.

A078622 Primes of the form prime(n)*prime(n*2)+2.

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%I A078622 #15 Sep 08 2022 08:45:08
%S A078622 23,67,733,1009,4603,16519,66301,154459,161221,173713,327079,750679,
%T A078622 1694809,1940683,2023741,2042281,3012169,3852973,4011523,4704199,
%U A078622 5407561,5536213,7292251,7347229,8484901,11359939,11633971,12559189
%N A078622 Primes of the form prime(n)*prime(n*2)+2.
%H A078622 Vincenzo Librandi, <a href="/A078622/b078622.txt">Table of n, a(n) for n = 1..5000</a>
%e A078622 43 = prime(14), 107 = prime(14*2) and 43*107+2 = 4603 is prime, therefore 4603 is a term.
%t A078622 Select[Table[Prime[n]Prime[2n]+2,{n,500}],PrimeQ] (* _Harvey P. Dale_, Nov 28 2011 *)
%o A078622 (PARI) for(n=1,1000,p=prime(n);p2=prime(2*n);Q=p*p2+2;if(isprime(Q),print1(Q,", ")))
%o A078622 (Magma) [ p: n in [1..400] | IsPrime(p) where p is NthPrime(n)*NthPrime(n*2)+2 ];
%Y A078622 Cf. A051779, A048880.
%K A078622 nonn
%O A078622 1,1
%A A078622 _Reinhard Zumkeller_, Dec 11 2002