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A092643 Number of consecutive prime runs of 3 primes congruent to 3 mod 4 below 10^n. 4
0, 0, 1, 36, 323, 2480, 20947, 183898, 1621279, 14492365, 131016136 (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 3 primes occur before interruption by a prime congruent to 1 mod 4.

EXAMPLE

a(5)=323 because 323 sets of 3 primes occur below 10^5, each run interrupted by a prime congruent to 1 mod 4.

CROSSREFS

Cf. A092642, A092644.

Sequence in context: A222860 A270601 A232828 * A045786 A237128 A171586

Adjacent sequences:  A092640 A092641 A092642 * A092644 A092645 A092646

KEYWORD

more,nonn

AUTHOR

Enoch Haga, Mar 02 2004

EXTENSIONS

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

STATUS

approved

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Last modified January 28 06:00 EST 2021. Contains 340490 sequences. (Running on oeis4.)