A092649 Number of consecutive prime runs of 5 primes congruent to 3 mod 4 below 10^n.

0, 0, 1, 5, 37, 396, 3606, 32546, 300897, 2775809, 25740438

Offset

1,4

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

Example

a(6)=396 because 396 sets of 5 primes occur below 10^6, each run interrupted by a prime congruent to 1 mod 4.

Crossrefs

Cf. A092648, A092650.

Sequence in context: A258378 A368322 A273954 * A179923 A190628 A333285

Adjacent sequences: A092646 A092647 A092648 * A092650 A092651 A092652

Keyword

more,nonn

Author

Enoch Haga, Mar 02 2004

Extensions

a(9)-(11) from Chai Wah Wu, Mar 18 2018

Status

approved