A260939 Thirteen primes in arithmetic progression with difference 60060 and minimal initial term.

4943, 65003, 125063, 185123, 245183, 305243, 365303, 425363, 485423, 545483, 605543, 665603, 725663

Offset

1,1

Comments

This sequence is 13 primes long and was discovered by W. N. Seredinsky.

Links

Table of n, a(n) for n=1..13.

Jens Kruse Andersen, All known AP24 to AP26.

Wikipedia, Primes in arithmetic progression.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

a(n) = 4943 + (n-1)*60060 = 4943 + (n-1)*2*A002110(6).

Example

a(4) = 4943 + 3*60060 = 185123.

Mathematica

Table[4943 + (n - 1) 60060, {n, 1, 13}] (* Bruno Berselli, Aug 10 2015 *)

Prog

(Sage) [4943+(n-1)*60060 for n in (1..13)] # Bruno Berselli, Aug 10 2015
(Magma) [4943+(n-1)*60060: n in [1..13]]; // Bruno Berselli, Aug 10 2015
(PARI) a(n)=60060*n-55117 \\ Charles R Greathouse IV, Aug 25 2017

Crossrefs

Cf. A002110, A033290, A113827, A260751.

Sequence in context: A015357 A241934 A185850 * A188547 A037044 A251847

Adjacent sequences: A260936 A260937 A260938 * A260940 A260941 A260942

Keyword

nonn,fini,full,easy

Author

Marco Ripà, Aug 05 2015

Status

approved