A363980 Primes in Tom Greer's arithmetic progression of 27 primes.

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

Offset

1,1

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).

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!!!)

Formula

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A204189, A260751, A327760.

Sequence in context: A132901 A337364 A058292 * A230668 A228455 A183062

Adjacent sequences: A363977 A363978 A363979 * A363981 A363982 A363983

Keyword

nonn,fini,full,easy

Author

Marco Ripà, Jun 30 2023

Status

approved