Real Riesel conjecture reservations

Started: Mar. 24, 2024
Last update: Nov. 17, 2025

Compiled by Gary Barnes based on work completed and coordinated by Riley Fisher.

Real Riesel conjectures

Green = testing through other projects
Gray = conjecture proven
Yellow = reserved

Testing not done through other projects is coordinated at Mersenneforum Real Riesel base 2 testing/reservations.

Base	Riesel k testing (n-range completed)	Riesel k/ reserved by/ n-range reserved/ last status date	Sieve file(s)/ general info.
2	63 k's remaining at n>=2M. See k's and test limits at: Real Riesel Base 2 remain. Breakdown: Real Riesel: 19 k's remaining at n=2M. Original base 2 project: 41 k's remaining at n=16.55M. Original base 2 1st/2nd conjectures even k efforts: 3 k's remaining at n>=9M.	(original project k's) Riesel Problem project 50M 2025/10/05 (other k's) (available)	Original project k's are worked on by PrimeGrid's Riesel Problem  project. Original even k efforts are worked on by the Conjectures 'R Us project.
2 2nd conjecture	35 k's remaining at n>=2M. See k's and test limits at: Real Riesel 2nd Base 2 remain. Breakdown: Real Riesel: 13 k's remaining at n=2M. Original base 2 project: 22 k's remaining at n=9M.	(all k's) (available)	Only 509203<k<762701 are considered. Original project k's are worked on by the Conjectures 'R Us project.
2 3rd conjecture	765389 (2.36M) 768119 (2.36M) 776351 (2.36M)	(all k's) Happy5214 2.5M 2025/11/17	Only 762701<k<777149 are considered. sieve-real-riesel-base2-3rd-conj-2M-5M.txt
2 4th conjecture	787663 (2.36M)	787663 Happy5214 2.5M 2025/11/17	Only 777149<k<790841 are considered. sieve-real-riesel-base2-4th-conj-2M-5M.txt