8 815 291 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
50388799929214042039	20	65.4	2012-08-27 02:53:43
384543458187807031642369	24	78.3	2021-05-12 21:37:38

ECM

Digits	B1	Curves
25	50000	16 / 280

Estimated T-Level: 20.3 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	1999-12-30	mbu	411B4A984008B34B	7492732
Verified (Factored)	2003-07-21	David Oard	411B4A984008B34B	7073872

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2019-02-06	artorollo	FC1D8C1476D248D4	1	5186430	5	3
Verified (Factored)	2020-12-04	Oliver Kruse	FC1D8C1476D248D4	1	3504910	5	3
Verified	2021-05-14	kutens	FC1D8C1476D248D4	2	1305090	5	3

P-1 factors

Date	Factor	B1	B2
2012-08-27	50388799929214042039	105000	1916250

History

Date	User	Type	Result
2021-05-14	curtisc	CERT	PRP Certification Proof certified good
2021-05-14	kutens	C-PRP	M8815291/50388799929214042039/384543458187807031642369 : FC1D8C1476D248D4 PRP proof power = 8 PRP: Verified Proof certified good
2021-05-12	firejuggler	F-PP1	Start=6/5, B1=500000, B2=26000000, Factor: 384543458187807031642369
2021-05-06	firejuggler	NF-PP1	Start=2/7, B1=500000, B2=26500000
2020-12-04	Ben Delo	CERT	PRP Certification Proof certified good
2020-12-04	Oliver Kruse	C-PRP	M8815291/50388799929214042039 : FC1D8C1476D248D4 PRP proof power = 8 PRP: Verified (Factored) Proof certified good
2019-02-06	artorollo	C-PRP	M8815291/50388799929214042039 : FC1D8C1476D248D4 PRP: Verified (Factored) PRP without proof (not generated)
2012-08-27	firejuggler	F-PM1	Factor: 50388799929214042039