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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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sorenson = require('sieve').primes # Sorenson's extensible sieve from task: Extensible Prime Number Generator
# Test if 2^n-1 is a Mersenne prime.
# assumes that the argument p is prime.
#
isMersennePrime = (p) ->
if p is 2 then yes
else
n = (1n << BigInt p) - 1n
s = 4n
s = (s*s - 2n) % n for _ in [1..p-2]
s is 0n
primes = sorenson()
mersennes = []
while (p = primes.next().value) < 3000
if isMersennePrime(p)
mersennes.push p
console.log "Some Mersenne primes: #{"M" + String p for p in mersennes}"