A092648 - OEIS

The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

A092648

Number of consecutive prime runs of 5 primes congruent to 1 mod 4 below 10^n.

0, 0, 0, 3, 36, 344, 3491, 32628, 300541, 2771091, 25737994 (list; graph; refs; listen; history; text; internal format)

	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 3 mod 4.`
	EXAMPLE	`a(6)=344 because 344 sets of 5 primes occur below 10^6, each run interrupted by a prime congruent to 3 mod 4.`
	CROSSREFS	`Cf. A092649, A092650.` `Sequence in context: A003691 A038146 A067444 * A026121 A055303 A274403` `Adjacent sequences: A092645 A092646 A092647 * A092649 A092650 A092651`
	KEYWORD	`more,nonn`
	AUTHOR	`Enoch Haga, Mar 02 2004`
	EXTENSIONS	`a(9)-a(11) from Chai Wah Wu, Mar 18 2018`
	STATUS	`approved`

Last modified January 16 15:53 EST 2021. Contains 340206 sequences. (Running on oeis4.)