A282059 Numbers k where there are 8 primes between 10*k and 10*k + 30.

1, 8879, 28472, 85571, 114677, 656099, 1576009, 2565844, 6915653, 7426625, 9362599, 18240349, 21803372, 22644952, 26167277, 30254276, 66197230, 91093591, 96466961, 104209078, 107132278, 117022186, 134030186, 139402516, 140053322, 142247591, 145927027

Offset: 1

Author

Wolfram Hüttermann, Feb 05 2017

Keywords

• nonn

Comments

8 primes are the maximum in such an interval. Dickson's conjecture would indicate that there are infinitely many k. It is easy to prove that k = 21*m + r with r in {1, 17}.

Examples

			There are eight primes between 88790 and 88820: 88793, 88799, 88801, 88807, 88811, 88813, 88817, 88819. Therefore 8879 is in the sequence.
		

Crossrefs

Cf. A078854, A007530 (prime quadruplets).

For the Dickson conjecture see A020497.

Extensions

a(18)-a(27) from Giovanni Resta, Mar 29 2017