Counting primes in residue classes

CRGreathouse · 2020-11-01, 03:50

Is there software available anywhere that implements an efficient algorithm for counting primes in residue classes? Something along the lines of, say, Deléglise-Dusart-Roblot 2004. (They did implement their own algorithm, using it to compute, e.g., A091099(20), but as far as I know that's not available -- and in any case it would be 17 years old, and targeting the Alpha and the P3. Still, if it's out there I'd like to know.)

CRGreathouse · 2020-11-03, 04:45

Incidentally this would address the first half of sweety439's post.

2020-11-01, 03:50	#1
CRGreathouse Aug 2006 1011101010100₂ Posts	Counting primes in residue classes Is there software available anywhere that implements an efficient algorithm for counting primes in residue classes? Something along the lines of, say, Deléglise-Dusart-Roblot 2004. (They did implement their own algorithm, using it to compute, e.g., A091099(20), but as far as I know that's not available -- and in any case it would be 17 years old, and targeting the Alpha and the P3. Still, if it's out there I'd like to know.)

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2020-11-03, 04:45	#2
CRGreathouse Aug 2006 2²×1,493 Posts	Incidentally this would address the first half of sweety439's post.