8 805 827 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
104683608145019537033	21	66.5	2012-08-26 14:08:26
4175293398605056163377	22	71.8	2021-05-06 02:21:20

ECM

Digits	B1	Curves
25	50000	9 / 280

Estimated T-Level: 20.2 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2000-02-01	Northwestern College	8DCBA6728FC55867	8495451
Verified (Factored)	2003-02-02	Pawel Krzesniak	8DCBA6728FC55867	2361154

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2019-01-31	Julian112	6904EF78F6BBBE01	1	5469917	5	3
Verified (Factored)	2020-09-09	kutens	6904EF78F6BBBE01	1	2910422	5	3
Verified	2021-05-06	XZT	6904EF78F6BBBE01	2	6904057	5	3

P-1 factors

Date	Factor	B1	B2
2012-08-26	104683608145019537033	105000	0

History

Date	User	Type	Result
2021-05-06	firejuggler	NF-PM1	B1=1200000, B2=79200000
2021-05-06	GIMPS-PRIM	CERT	PRP Certification Proof certified good
2021-05-06	XZT	C-PRP	M8805827/104683608145019537033/4175293398605056163377 : 6904EF78F6BBBE01 PRP proof power = 8 PRP: Verified Proof certified good
2021-05-06	ViliamF	NF-PM1	B1=1500000, B2=121500000
2021-05-06	firejuggler	F-PP1	Start=2/7, B1=500000, B2=26500000, Factor: 4175293398605056163377
2020-09-09	kutens	C-PRP	M8805827/104683608145019537033 : 6904EF78F6BBBE01 PRP: Verified (Factored) PRP without proof (not generated)
2019-01-31	Julian112	C-PRP	M8805827/104683608145019537033 : 6904EF78F6BBBE01 PRP: Verified (Factored) PRP without proof (not generated)
2012-08-26	firejuggler	F-PM1	Factor: 104683608145019537033