1 877 933 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
3631922423	10	31.8	old
13577481881063	14	43.6	2008-08-26 20:20:12
421316960104983983	18	58.5	2015-08-23 16:10:02
37279021748511254068057	23	75.0	2020-12-10 05:04:39
83416238596177102864793	23	76.1	2021-09-29 12:10:55

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	1BD9187E688C399A	3	0	1	3
Verified (Factored)	2017-10-20	Oliver Kruse	1BD9187E688C399A	3	532403	1	3
Verified (Factored)	2020-12-11	Jayder	B95075434229104A	4	1718540	5	3
Verified	2021-10-01	JackBlock	B95075434229104A	5	1144346	5	3

P-1 factors

Date	Factor	B1	B2
2015-08-23	421316960104983983	500000	15000000

History

Date	User	Type	Result
2021-10-01	Coff	CERT	PRP Certification Proof certified good
2021-10-01	JackBlock	C-PRP	M1877933/3631922423/13577481881063/421316960104983983/37279021748511254068057/83416238596177102864793 : B95075434229104A PRP proof power = 7 PRP: Verified Proof certified good
2021-09-29	TJAOI	F-ECM	Factor: 83416238596177102864793 / (ECM curve 14, B1=50000, B2=6600000)
2020-12-11	Ben Delo	CERT	PRP Certification Proof certified good
2020-12-11	Jayder	C-PRP	M1877933/3631922423/13577481881063/421316960104983983/37279021748511254068057 : B95075434229104A PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2020-12-10	_p95holder_	F-ECM	Factor: 37279021748511254068057 / (ECM curve 1, B1=50000, B2=5000000)
2017-10-20	Oliver Kruse	C-PRP	M1877933/3631922423/13577481881063/421316960104983983 : 1BD9187E688C399A PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1877933/3631922423/13577481881063/421316960104983983 : 1BD9187E688C399A PRP: Verified (Factored) PRP without proof (not generated)
2015-08-23	alpertron	F-PM1	Factor: 421316960104983983 / (P-1, B1=500000, B2=15000000, E=12)
2008-08-26	-Anonymous-	F	Factor: 13577481881063