226 691 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
173596607785999	15	47.3	old
1104298241979136769	19	59.9	2014-07-28 15:32:07
2356137892153772530023725265049	31	100.9	2020-01-23 08:47:10

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	513 / 640

Estimated T-Level: 29.0 ⓘ

TF below 2^91 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	F20B789C6F5E096D	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	F20B789C6F5E096D	2	85855	1	3
Verified	2020-01-24	Niels_Mache_Nextcloud	B78AC5B2D3DC822F	3	214449	5	3
Verified	2020-01-25	ANONYMOUS	B78AC5B2D3DC822F	3	143570	5	3
Verified	2020-01-25	daveward2005	B78AC5B2D3DC822F	3	49983	5	3

History

Date	User	Type	Result
2022-03-16	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-06-16	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-01-25	daveward2005	C-PRP	M226691/173596607785999/1104298241979136769/2356137892153772530023725265049 : B78AC5B2D3DC822F PRP: Verified PRP without proof (small exponent)
2020-01-25	ANONYMOUS	C-PRP	M226691/173596607785999/1104298241979136769/2356137892153772530023725265049 : B78AC5B2D3DC822F PRP: Verified PRP without proof (small exponent)
2020-01-24	Niels_Mache_Nextcloud	C-PRP	M226691/173596607785999/1104298241979136769/2356137892153772530023725265049 : B78AC5B2D3DC822F PRP: Verified PRP without proof (small exponent)
2020-01-23	_p95holder_	F-ECM	Factor: 2356137892153772530023725265049 / (ECM curve 3, B1=250000, B2=25000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M226691/173596607785999/1104298241979136769 : F20B789C6F5E096D PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M226691/173596607785999/1104298241979136769 : F20B789C6F5E096D PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M226691/173596607785999/1104298241979136769 : F20B789C6F5E096D PRP without proof (not generated)
2014-07-28	TJAOI	F-ECM	Factor: 1104298241979136769