A092651 Number of consecutive prime runs of 6 primes congruent to 1 mod 4 below 10^n.

0, 0, 0, 0, 9, 127, 1417, 13519, 126480, 1191992, 11227315

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 6 primes occur before interruption by a prime congruent to 3 mod 4.

Example

a(5)=9 because 9 sets of 6 primes occur below 10^5, each run interrupted by a prime congruent to 3 mod 4.

Crossrefs

Cf. A092652, A092653.

Sequence in context: A065707 A338077 A034301 * A366036 A258294 A362776

Adjacent sequences: A092648 A092649 A092650 * A092652 A092653 A092654

Keyword

more,nonn

Author

Enoch Haga, Mar 02 2004

Extensions

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

Status

approved