A374949 Michael Kwok's arithmetic progression of 27 primes.

605185576317848261, 639847242910261121, 674508909502673981, 709170576095086841, 743832242687499701, 778493909279912561, 813155575872325421, 847817242464738281, 882478909057151141, 917140575649564001, 951802242241976861, 986463908834389721, 1021125575426802581

Offset

1,1

Comments

At the time of submission (July 2024), this sequence is the arithmetic progression of 27 primes having the largest known initial and final term and it was found by Michael Kwok on 10 December 2023 as part of the project PrimeGrid, running the program AP26 (this is the third known AP27 to date, see A327760 and A363980).

Links

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

PrimeGrid forum, Message 167007 (World's Third AP27!!!).

Formula

a(n+1) = 605185576317848261 + n*34661666592412860, for n = 0, 1, ..., 26.

Example

a(3) = 605185576317848261 + 2*34661666592412860 is prime.

Mathematica

A374949[n_]:=605185576317848261 + (n-1)* 34661666592412860; Array[A374949, 27]

Prog

(PARI) vector(27, t, 605185576317848261+155368778*223092870*(t-1))

Crossrefs

Cf. A033188, A033290, A204189, A260751, A261140, A327760, A363980.

Sequence in context: A172565 A360140 A172546 * A256312 A173445 A281390

Adjacent sequences: A374946 A374947 A374948 * A374950 A374951 A374952

Keyword

nonn,fini,full,easy

Author

Marco Ripà, Jul 24 2024

Status

approved