SNOB Sierpinski conjecture reservations

Started: Apr. 15, 2026
Last update: May 8, 2026

Compiled by Gary Barnes. k<1048576 is based on work completed and coordinated by the Seventeen New or Bust (SNOB) project.

SNOB Sierpinski conjectures

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

Testing for odd k<1048576 not done through other projects is coordinated at PrimeGrid Seventeen or Bust: A new Sierpinski problem.

Base Sierpinski k testing
(n-range completed)		 Sierpinski k/
reserved by/
n-range reserved/
last status date		 Sieve file(s)/
general info.
2 10 k's remaining at n>=10M.

SNOB; 5 k's:
23971 (10M)
45323 (10M)
50777 (10M)
50873 (10M)
76877 (10M)

Original base 2 project; 5 k's:
21181 (45.22M)
22699 (45.44M)
24737 (45.34M)
55459 (45.19M)
67607 (45.32M)
(original project k's) SOB project 50M 2026/05/08
(other k's) (available)    
Original project k's are worked on by PrimeGrid's Seventeen or Bust project. See k's and test limits at Seventeen or Bust stats.
2
2nd conjecture		 22 k's remaining at n>=5.1M.

SNOB; 7 k's:
83599 (6M)
97667 (5.1M)
113266 (5.1M)
129769 (5.1M)
131416 (5.1M)
149693 (5.1M)
225803 (5.1M)

Original base 2 projects; 15 k's:
79309 (39.3M)
79817 (39.59M)
91549 (29.57M)
131179 (29.41M)
152267 (39.28M)
156511 (39.71M)
163187 (29.44M)
200749 (29.4M)
209611 (29.4M)
222113 (39.27M)
225931 (39.55M)
227723 (29.41M)
229673 (30.13M)
237019 (39.04M)
238411 (29.41M)
83599 pepi37 8M 2026/05/07
97667 (available)    
113266 (available)    
129769 (available)    
131416 (available)    
149693 (available)    
225803 (available)    
79309 * 50M 2026/05/08
79817 * 50M 2026/05/08
152267 * 50M 2026/05/08
156511 * 50M 2026/05/08
222113 * 50M 2026/05/08
225931 * 50M 2026/05/08
237019 * 50M 2026/05/08
(other k's) Extended Sierpinski problem project 50M 2026/05/08
Only 78557<k<271129 are considered.

* Original project prime k's are being worked on by PrimeGrid's Prime Sierpinski Problem project. See k's and test limits at Prime Sierpinski stats.

Original project composite odd k's are being worked on by PrimeGrid's Extended Sierpinski Problem project. See k's and test limits at Extended Sierpinski stats.

k=83599, 97667, 129769, 149693, & 225803 only:
sieve-SNOB-sierp-base2-2nd-conj-5.1M-10M.zip
2
3rd conjecture		 none proven Only 271129<k<271577 are considered.
2
4th conjecture		 272341 (2.5M)
274699 (2.4M)
279767 (2.4M)
285601 (2.5M)
286037 (2.5M)
287393 (2.5M)
289171 (2.4M)
294181 (2.4M)
305063 (2.4M)
310339 (2.4M)
311573 (2.4M)
272341 (available)    
285601 (available)    
286037 (available)    
287393 (available)    
(other k's) stream 2.5M 2026/04/21
Only 271577<k<322523 are considered.
2
5th conjecture		 none proven Only 322523<k<327739 are considered.
2
6th conjecture		 26 k's remaining at n>=2.4M.

See k's and test limits at SNOB Sierpinski 6th Base 2 remain.
340441 (available)    
392033 (available)    
400613 (available)    
457217 (available)    
(other k's) stream 2.5M 2026/04/21
Only 327739<k<482719 are considered.
2
7th conjecture		 484763 (2.4M)
491147 (2.4M)
499337 (2.5M)
502613 (2.4M)
510698 (1M)
515357 (2.5M)
517913 (2.4M)
532703 (2.4M)
536839 (2.4M)
538943 (2.4M)
545401 (2.4M)
548033 (2.4M)
553159 (2.4M)
558482 (1M)
561769 (2.4M)
566569 (2.4M)
571471 (2.4M)
499337 (available)    
510698 (available)    
515357 (available)    
558482 (available)    
(other k's) stream 2.5M 2026/04/21
Only 482719<k<575041 are considered.
2
8th conjecture		 580831 (2.4M)
583189 (2.4M)
588317 (2.4M)
589021 (2.4M)
590033 (2.5M)
599011 (2.4M)
590033 (available)    
(other k's) stream 2.5M 2026/04/21
Only 575041<k<603713 are considered.
2
9th conjecture		 59 k's remaining at n>=1M.

See k's and test limits at SNOB Sierpinski 9th Base 2 remain.
615634 (available)    
656123 (available)    
678173 (available)    
766531 (available)    
795983 (available)    
823969 (available)    
879497 (available)    
880834 (available)    
(other k's) stream 2.5M 2026/04/21
Only 603713<k<903983 are considered.
2
10th conjecture		 904489 (2.4M)
925907 (2.4M)
926371 (2.4M)
(all k's) stream 2.5M 2026/04/21
Only 903983<k<934909 are considered.
2
11th conjecture		 935723 (2.4M)
941492 (1M)
945572 (1M)
946879 (2.4M)
957977 (2.5M)
961099 (2.5M)
964673 (2.4M)
935723 stream 2.5M 2026/04/21
946879 stream 2.5M 2026/04/21
964673 stream 2.5M 2026/04/21
(other k's) (available)    
Only 934909<k<965431 are considered.
2
12th conjecture		 64 k's remaining at n>=1M.

See k's and test limits at SNOB Sierpinski 12th Base 2 remain.
968491 stream 2.5M 2026/04/21
971389 stream 2.5M 2026/04/21
972739 stream 2.5M 2026/04/21
979039 stream 2.5M 2026/04/21
1000313 stream 2.5M 2026/04/21
1004987 stream 2.5M 2026/04/21
1013689 stream 2.5M 2026/04/21
1040297 stream 2.5M 2026/04/21
(other k's) (available)    
Only 965431<k<1259779 are considered.