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-   -   A Sierpinski/Riesel-like problem (https://www.mersenneforum.org/showthread.php?t=21839)

sweety439 2017-09-23 21:20

R97, the last k tested to n=10K, no (probable) prime found.

sweety439 2017-09-23 22:11

Found the (probable) prime (13*103^7010+1)/2.

S103 is now a 1K base.

sweety439 2017-09-23 22:11

Found the prime 64*97^7474+1.

sweety439 2017-09-23 22:12

Reserve S83 k=3 to n=10K.

sweety439 2017-09-24 18:02

Found the (probable) prime (3*107^4900-1)/2.

R107 is proven!!!

Also, R107 [B][I]was[/I][/B] the smallest Riesel base with k=3 remain, thus we solved k=3 for the smallest Riesel base with k=3 remaining!!!

Now, the smallest Riesel base with k=3 remain is R159.

sweety439 2017-09-24 18:04

Reserve R33 (for all remain k) and R31 (only for k=5).

Also reserve S67 (for all remain k).

sweety439 2017-09-25 17:45

(133*100^5496-1)/33 is (probable) prime!!!

R100 is proven!!!

We proved a power of 10 base!!!

Also found the prime 148*105^3645-1.

sweety439 2017-09-25 17:50

S112 has totally 48 k's remain:

8, 92, 122, 183, 209, 269, 428, 467, 547, 553, 668, 677, 813, 896, 926, 941, 943, 947, 953, 983, 1013, 1131, 1171, 1217, 1286, 1292, 1346, 1412, 1445, 1463, 1470, 1499, 1517, 1573, 1581, 1604, 1613, 1664, 1696, 1712, 1780, 1791, 1807, 1920, 1937, 2082, 2189, 2237

sweety439 2017-09-25 17:53

R112 has totally 37 k's remain:

9, 31, 68, 72, 79, 142, 187, 310, 340, 349, 421, 424, 451, 498, 529, 619, 636, 646, 703, 749, 758, 790, 853, 898, 940, 948, 981, 1008, 1018, 1024, 1051, 1093, 1204, 1254, 1268, 1349, 1353

sweety439 2017-09-25 23:42

S103 tested to n=8K (4K-8K)

1 (probable) prime found, 1 remain

R97 tested to n=8K (1K-8K)

1 (probable) prime found, 2 remain

R43 tested to n=12K (5K-12K)

nothing found, 1 remain

S83 tested to n=8K (4K-8K)

nothing found, 2 remain

S73 tested to n=10K (5K-10K)

nothing found, 1 remain

R107 tested to n=8K (4K-8K)

1 (probable) prime found, base proven

R100 tested to n=8K (4K-8K)

1 (probable) prime found, base proven

S67 tested to n=10K (5K-10K)

nothing found, 3 remain

R33 tested to n=12K (6K-12K)

nothing found, 2 remain

sweety439 2017-09-25 23:44

I also reserved S33 and R61 to n=12K (S61 is already proven) and found that (407*33^10961+1)/8 is (probable) prime!!! S33 now has only 2 k's remain.

(407*33^10961+1)/8 is the largest (probable) prime found by this project!!!


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