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

Author

Marco Ripà, Aug 05 2015

Keywords

• nonn
• fini
• full
• easy

Comments

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

Examples

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

Links

• Jens Kruse Andersen, All known AP24 to AP26.
• Wikipedia, Primes in arithmetic progression.
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A002110, A033290, A113827, A260751.

Programs

Magma

[4943+(n-1)*60060: n in [1..13]]; // Bruno Berselli, Aug 10 2015

Mathematica

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

PARI

a(n)=60060*n-55117 \\ Charles R Greathouse IV, Aug 25 2017

Sage

[4943+(n-1)*60060 for n in (1..13)] # Bruno Berselli, Aug 10 2015

Formula

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