A363980 Tom Greer's arithmetic progression of 27 primes.

277699295941594831, 315809464967513821, 353919633993432811, 392029803019351801, 430139972045270791, 468250141071189781, 506360310097108771, 544470479123027761, 582580648148946751, 620690817174865741, 658800986200784731, 696911155226703721, 735021324252622711

Offset: 1

Author

Marco Ripà, Jun 30 2023

Keywords

• nonn
• fini
• full
• easy

Comments

At the time of submission (June 2023), this sequence is the arithmetic progression of 27 primes having the largest known initial and final term and it was found by Tom Greer on 26 May 2023 as part of PrimeGrid's AP27, running the program AP26 (this is the second known AP27 to date, see A327760).

Examples

			a(3) = 277699295941594831 + 2*170826477*223092870 is prime.
		

Links

• Marco Ripà, Table of n, a(n) for n = 1..27
• PrimeGrid, Official announcement of the second known AP27
• PrimeGrid forum, Message 163220 (World's Second AP27!!!)

Crossrefs

Cf. A033188, A033290, A204189, A260751, A261140, A327760, A374949.

Programs

Mathematica

A363980[n_]:=277699295941594831 + (n-1)*38110169025918990;
Array[A363980, 27] (* Paolo Xausa, Jan 30 2024 *)

PARI

vector(27, t, 277699295941594831+170826477*223092870*(t-1))

Formula

a(n+1) = 277699295941594831 + n*170826477*223092870, for n = 0, 1, ..., 26.