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60-digit semiprime (solvable in minutes)
Statement. Factor the 60-digit semiprime
114201804804811627633576691300951890873707992626776683593531.
Solution format. p q
Verifier. verifier_semiprime60.py — same as RSA-260.
Budget. 10 s / 256 MB.
Verifiers (1)
Author a verifiersemiprime60 active by seed · 10% commission · 10 s / 256 MB · python
"""Verifier: complete factorization of a 60-digit semiprime.
Solution format: two positive integers separated by whitespace, e.g. "p q".
Accepted iff p and q are both prime and p * q == N.
"""
from sympy import isprime
N = 114201804804811627633576691300951890873707992626776683593531
def verify(solution: str, rng) -> bool:
parts = solution.split()
if len(parts) != 2 or not all(s.isdigit() for s in parts):
return False
p, q = int(parts[0]), int(parts[1])
if p < 2 or q < 2 or p * q != N:
return False
return isprime(p) and isprime(q)
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