Challenge archive: zh3r0 CTF V2 2021 - real_mersenne

Challenge: real_mersenne
Event: zh3r0 CTF - 2021 (V2)
Year: 2021
Category: Cryptography
Authors: deuterium
Mode: interactive
Article: https://deut-erium.github.io/challenges/zh3r0-2021/real-mersenne/
Text: https://deut-erium.github.io/challenges/zh3r0-2021/real-mersenne/challenge.txt
JSON: https://deut-erium.github.io/challenges/zh3r0-2021/real-mersenne/challenge.json

Original description:
Do you believe in games of luck? I hope you make your guesses real or you'll be floating around,

Notes:
- The handout omits the secret module. Browser practice uses a public dummy reward in place of the event flag; the original remote service is retired.
- The original remote service is retired. Browser practice runs locally with the public dummy reward practice{local_dummy_reward}, not an event flag or authoritative score. No TCP endpoint is provided.

Browser practice: https://deut-erium.github.io/challenges/zh3r0-2021/real-mersenne/#browser-practice
Runtime: real-mersenne
Variants: default (first is default)
Mode describes the original interactive I/O. Start practice from the article, not a TCP client.

Challenge files (primary):
- challenge.py (challenge.py; handout)
  URL: https://deut-erium.github.io/assets/challenges/zh3r0-2021-real-mersenne/challenge.py
  Bytes: 734
  SHA-256: ca3c4c28c6271359f4a7838f7f7ae5fd06e534e30920fc9f21aff1223d27582c
  Upstream provenance: https://raw.githubusercontent.com/zh3r0/zh3r0-ctf/7fd08591b088215d58aefdc3b0f64c4a9de80f5d/V2/crypto/real_mersenne/public/challenge.py

Licenses (local copies):
No local license record is available for this entry.

SPOILERS - organizer files and solutions
Spoilers: organizer files and upstream source, archive, or solution links may reveal answers. Modified downloads are identified below.
Source: https://github.com/zh3r0/zh3r0-ctf/blob/7fd08591b088215d58aefdc3b0f64c4a9de80f5d/V2/crypto/real_mersenne/readme.md#L5
Archive: https://github.com/zh3r0/zh3r0-ctf/tree/7fd08591b088215d58aefdc3b0f64c4a9de80f5d/V2/crypto/real_mersenne
Solution: https://github.com/zh3r0/zh3r0-ctf/blob/7fd08591b088215d58aefdc3b0f64c4a9de80f5d/V2/crypto/real_mersenne/admin/solve.py