A033290 Ten consecutive primes in arithmetic progression.

100996972469714247637786655587969840329509324689190041803603417758904341703348882159067229719, 100996972469714247637786655587969840329509324689190041803603417758904341703348882159067229929, 100996972469714247637786655587969840329509324689190041803603417758904341703348882159067230139

Offset

0,1

Comments

This was the first known case, found in 1998. The full 10 terms are linked below. - Jens Kruse Andersen, Jun 30 2014

Links

Jens Kruse Andersen, Table of n, a(n) for n = 0..9

J. K. Andersen, The largest known CPAP-10

H. Dubner et al., Ten consecutive primes in arithmetic progression

T. Forbes, Ten consecutive primes in arithmetic progression

Tanya Khovanova, Non Recursions

Manfred Toplic, Nine and ten primes project

Eric Weisstein's World of Mathematics, Primes in Arithmetic Progression

Index entries for sequences related to primes in arithmetic progressions

Formula

N*m + x + 210*b, b = 0..9.

a(n) = a(0)+210*n, and a(n+1) = nextprime(a(n)+1). - Jens Kruse Andersen, Jun 30 2014

Crossrefs

Cf. A033188, A204189, A260751, A261140, A327760, A363980, A374949.

Sequence in context: A095572 A095574 A095576 * A095578 A095580 A095582

Adjacent sequences: A033287 A033288 A033289 * A033291 A033292 A033293

Keyword

fini,full,nonn

Author

Manfred Toplic

Status

approved