A374949 Michael Kwok's arithmetic progression of 27 primes.

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

Offset: 1

Author

Marco Ripà, Jul 24 2024

Keywords

• nonn
• fini
• full
• easy

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).

Examples

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

Links

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

Crossrefs

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

Programs

Mathematica

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

PARI

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

Formula

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