A092658 Number of consecutive prime runs of 8 primes congruent to 3 mod 4 below 10^n.

0, 0, 0, 0, 4, 11, 193, 2130, 21913, 214679, 2089627

Offset

1,5

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 8 primes occur before interruption by a prime congruent to 1 mod 4.

Example

a(6)=11 because 11 sets of 8 primes occur below 10^6, each run interrupted by a prime congruent to 1 mod 4.

Crossrefs

Cf. A092657, A092659.

Sequence in context: A303881 A305277 A118197 * A304888 A316572 A216571

Adjacent sequences: A092655 A092656 A092657 * A092659 A092660 A092661

Keyword

more,nonn

Author

Enoch Haga, Mar 02 2004

Extensions

a(9) and a(10) from Sean A. Irvine, Oct 20 2011

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

Status

approved