A363980 - OEIS

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A363980

Tom Greer's arithmetic progression of 27 primes.

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

(list; graph; refs; listen; history; text; internal format)

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