81 359 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
3417079	7	21.7	old
1021874973511871	16	49.9	2009-07-15 00:49:28
1324957378898003254890627857	28	90.1	2016-09-09 23:17:50
10128092800680235532296845481	29	93.0	2017-02-22 04:49:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	713 / 1566

Estimated T-Level: 32.3 ⓘ

TF below 2^102 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	3A91EE59D66C06E2	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	3A91EE59D66C06E2	4	0	1	3
Verified	2017-12-07	ATH	3A91EE59D66C06E2	4	45458	1	3
Verified	2020-04-17	Oliver Kruse	0C9F27AEF07525F6	4	16507	5	3
Verified	2024-02-03	Wentao Huang	0C9F27AEF07525F6	4	76666	5	3

Assigned

Assigned	User	Work Type	Stage	% Done	Updated	Expired
2024-04-26	masser	factor ECM small		0.00 %	2024-04-29

P-1 factors

Date	Factor	B1	B2
2016-09-09	1324957378898003254890627857	5000000	40000000

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M81359/3417079/1021874973511871/1324957378898003254890627857/10128092800680235532296845481 : 0C9F27AEF07525F6 PRP: Verified PRP without proof (small exponent)
2024-01-27	masser	NF-PP1	Start=147/67, B1=25000000, B2=1475000000
2024-01-27	masser	NF-PP1	Start=6/5, B1=25000000, B2=1475000000
2024-01-24	masser	NF-PP1	Start=2/7, B1=25000000, B2=1475000000
2022-01-24	George Woltman	NF-PM1	B1=1000000000, B2=20505204029310
2020-04-17	Oliver Kruse	C-PRP	M81359/3417079/1021874973511871/1324957378898003254890627857/10128092800680235532296845481 : 0C9F27AEF07525F6 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M81359/3417079/1021874973511871/1324957378898003254890627857/10128092800680235532296845481 : 3A91EE59D66C06E2 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M81359/3417079/1021874973511871/1324957378898003254890627857/10128092800680235532296845481 : 3A91EE59D66C06E2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M81359/known_factors : 3A91EE59D66C06E2 PRP without proof (not generated)
2017-02-22	kkmrkkblmbrbk	F-ECM	Factor: 10128092800680235532296845481 / (ECM curve 124, B1=250000, B2=25000000)
2016-10-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2016-09-09	kkmrkkblmbrbk	F-PM1	Factor: 1324957378898003254890627857 / (P-1, B1=5000000, B2=40000000, E=12)
2009-07-15	Matthias Wurtinger	F-ECM	Factor: 1021874973511871