factoring 2 factorization 2 primes 2 sieve 2 primality 2 math 2 mathematics 2 moebius 1 moebius function 1 multiple polynomial quadratic sieve 1 multiple-polynomial quadratic sieve 1 möbius 1 möbius function 1 n+1 1 n-1 1 number theory 1 partitions 1 pell 1 pell equation 1 pocklington 1 pollard rho 1 zeta function 1 modular square roots 1 modular square root 1 mobius function 1 mobius 1 miller-rabin 1 miller rabin 1 lucas sequences 1 lucas sequence 1 lucas probable primality test 1 lucas numbers 1 lprp 1 linear recurrences 1 linear recurrence 1 legendre symbol 1 lagarias-miller-odlyzko 1 xslprp 1 xgcd 1 totient 1 størmer's theorem 1 strong probable primality test 1 strong lucas probable primality test 1 stormer's theorem 1 sprp 1 smooth numbers 1 slprp 1 siqs 1 sieve of eratosthenes 1 semiprime 1 self-initializing quadratic sieve 1 self initializing quadratic sieve 1 segmented sieve 1 riemann zeta function 1 quadratic sieve 1 quadratic frobenius 1 pythagorean triples 1 pythagorean triple 1 primepi 1 prime-counting function 1 prime-counting 1 prime numbers 1 prime counting function 1 prime counting 1 primality testing 1 pollard's rho 1 kronecker symbol 1 crt 1 convergents 1 convergent 1 continued fractions 1 continued fraction 1 computational number theory 1 chinese remainder theorem 1 almost-prime 1 almost prime 1 LMO 1 BPSW 1 qs 1 quadratic 1 polynomial 1 multiple 1 ecf 1 ecm 1 method 1 curve 1 elliptic 1 p+1 1 williams' 1 p-1 1 rho 1 pollard's 1 test 1 numbers 1 prime 1 integer 1 jacobi symbol 1 integer factorization 1 integer factoring 1 hensel lifting 1