A092661 Number of consecutive prime runs of 9 primes congruent to 3 mod 4 below 10^n.

0, 0, 0, 0, 1, 8, 77, 897, 8949, 90276, 894951

Offset

1,6

Links

Table of n, a(n) for n=1..11.

Formula

Generate the prime sequence with primes labeled 1 mod 4 or 3 mod 4. Add count of primes to sequence if just 9 primes occur before interruption by a prime congruent to 1 mod 4

Example

a(7)=77 because 77 sets of 9 primes occur below 10^7, each run interrupted by a prime congruent to 1 mod 4.

Crossrefs

Cf. A092660 A092662.

Cf. A162866. [From Rick L. Shepherd, Jul 15 2009]

Sequence in context: A091691 A024103 A187638 * A196071 A304303 A074841

Adjacent sequences: A092658 A092659 A092660 * A092662 A092663 A092664

Keyword

more,nonn

Author

Enoch Haga, Mar 02 2004

Extensions

a(9) from Rick L. Shepherd, Jul 15 2009

a(10) from Sean A. Irvine, Oct 25 2011

a(11) from Chai Wah Wu, Mar 18 2018

Status

approved