login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A247882 Numbers, p, that generate the prime quadruplets p^2-2p+2k (for k = -2, -1, 1, 2). 1

%I #12 Oct 16 2014 14:06:37

%S 5,15,705,2795,14105,18645,38547,43485,53915,57957,62417,76287,82355,

%T 94445,96657,145937,162605,178817,180677,184877,193625,234017,238887,

%U 256557,261017,287835,297815,334007,339525,346425,387297,399387,407145,417597,418845,419147

%N Numbers, p, that generate the prime quadruplets p^2-2p+2k (for k = -2, -1, 1, 2).

%C For a subset of this list, restricted only to primes, see A247845.

%e 5 is in the sequence as it generates the prime quadruplet 5^2-2*5-4=11; 5^2-2*5-2=13; 5^2-2*5+2=17; and, 5^2-2*5+4=19.

%o (PARI) lista(nn) = {vk = [-2, -1, 1, 2]; for (p = 2, nn, nb = 0; for (k = 1, 4, nb += isprime(p^2-2*p+2*vk[k]);); if (nb == 4, print1(p, ", ")););} \\ _Michel Marcus_, Sep 26 2014

%Y Cf. A247845 (subsequence of primes).

%K nonn

%O 1,1

%A _Ray G. Opao_, Sep 25 2014

%E More terms from _Michel Marcus_, Sep 26 2014

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)