Real Riesel conjecture reservations

Started: Mar. 24, 2024
Last update: May 8, 2026

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>=2.2M.

See k's and test limits at:
Real Riesel Base 2 remain.

Breakdown:

Real Riesel:
19 k's remaining at n=2.2M.

Original base 2 project:
41 k's remaining at n=16.9M.

Original base 2 1st/2nd
conjectures even k efforts:
3 k's remaining at n>=9M.
(Real Riesel k's) pinhodecarlos 2.5M 2026/04/12
(original project k's) Riesel Problem project 50M 2026/05/08
175567 (available)    
239107 Prescott 11M 2026/02/14
303337 (available)    
Original project k's are worked on by PrimeGrid's Riesel Problem project.
See k's and test limits at Riesel Problem stats.

Original even k efforts are worked on by the Conjectures 'R Us project.

sieve-real-riesel-base2-2.1M-5M.zip
2
2nd conjecture		 34 k's remaining at n>=2.2M.

See k's and test limits at:
Real Riesel 2nd Base 2 remain.

Breakdown:

Real Riesel:
12 k's remaining at n=2.2M.

Original base 2 project:
22 k's remaining at n=9M.
(Real Riesel k's) pinhodecarlos 2.5M 2026/04/12
(other k's) (available)    
Only 509203<k<762701 are considered.

Original project k's are worked on by the Conjectures 'R Us project.

sieve-real-riesel-base2-2nd-conj-2.1M-5M.zip
2
3rd conjecture		 765389 (3M)
768119 (3M)
776351 (3M)
(all k's) (available)    
Only 762701<k<777149 are considered.

sieve-real-riesel-base2-3rd-conj-3M-5M.txt
2
4th conjecture		 787663 (3M)
787663 (available)    
Only 777149<k<790841 are considered.

sieve-real-riesel-base2-4th-conj-3M-5M.txt
2
5th conjecture		 37 k's remaining at n>=1M.

See k's and test limits at:
Real Riesel 5th Base 2 remain.
(all k's) (available)    
Only 790841<k<992077 are considered.
2
6th conjecture		 998321 (1M)
1010759 (1M)
1032431 (1M)
1033138 (1M)
1035269 (1M)
1047763 (1M)
1048273 (1M)
1049917 (1M)
1051859 (1M)
1054811 (1M)
1064561 (1M)
1069469 (1M)
1072031 (1M)
1080179 (1M)
1081109 (1M)
1082561 (1M)
1087559 (1M)
1090259 (1M)
1093087 (1M)
1093271 (1M)
1099751 (1M)
(all k's) (available)    
Only 992077<k<1106681 are considered.