1 869 617 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
39890148313	11	35.2	old
2163566079680143687	19	60.9	2016-03-15 12:31:57
31290230502255006055463	23	74.7	2020-11-24 18:01:27
4703120356698229208075591	25	82.0	2017-06-08 16:30:38

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)	2017-09-28	alpertron	42E33C5E25BAA721	3	0	1	3
Verified (Factored)	2017-10-19	Oliver Kruse	42E33C5E25BAA721	3	748410	1	3
Verified	2020-11-25	mrh	D2BF267BD2751CC4	4	1609854	5	3

History

Date	User	Type	Result
2020-11-25	Ben Delo	CERT	PRP Certification Proof certified good
2020-11-25	mrh	C-PRP	M1869617/39890148313/2163566079680143687/4703120356698229208075591/31290230502255006055463 : D2BF267BD2751CC4 PRP proof power = 7 PRP: Verified Proof certified good
2020-11-24	_p95holder_	F-ECM	Factor: 31290230502255006055463 / (ECM curve 1, B1=50000, B2=5000000)
2017-10-19	Oliver Kruse	C-PRP	M1869617/39890148313/2163566079680143687/4703120356698229208075591 : 42E33C5E25BAA721 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-28	alpertron	C-PRP	M1869617/2163566079680143687/39890148313/4703120356698229208075591 : 42E33C5E25BAA721 PRP: Verified (Factored) PRP without proof (not generated)
2017-06-08	Richard B. Woods	F-ECM	Factor: 4703120356698229208075591
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2016-03-15	TJAOI	F	Factor: 2163566079680143687 / TF: 60-61