8 333 131 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁶⁸

Factored

Factor	Digits	Bits	Date
149996359	9	27.2	old
879328649383	12	39.7	2008-09-08 04:30:34
148175832754826212009	21	67.0	2021-04-27 10:35:59
1347593296567769308597071281	28	90.1	2021-05-07 08:26:34

P-1 factors

Date	Factors	B1	B2
2021-05-07	1347593296567769308597071281	4000000	80000000

ECM

Digits	B1	Curves
25	50000	34 / 280

Estimated T-Level: 20.6 ⓘ

TF below 2^63 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2018-10-16	Oliver Kruse	FB75FF5AE706070E	2	1468044	5	3
Factored	PRP without proof (not generated)	2020-04-23	marssystems	FB75FF5AE706070E	2	3299654	5	3
Factored	Certified Good	2021-04-29	daveward2005	FB75FF5AE706070E	3	1651915	5	3
Verified	Certified Good	2021-05-08	mrh	FB75FF5AE706070E	4	6301921	5	3

History

Date	User	Type	Result
2021-05-08	riccardo uberti	NF-PP1	Start=6/5, B1=1500000, B2=30000000
2021-05-08	GAN	CERT	Proof certified good
2021-05-08	mrh	C-PRP	M8333131/149996359/879328649383/148175832754826212009/1347593296567769308597071281 : FB75FF5AE706070E Proof Certified Good Proof Power: 8
2021-05-07	riccardo uberti	F-PM1	Factor: 1347593296567769308597071281 / B1=4000000, B2=80000000
2021-04-30	riccardo uberti	NF-PP1	Start=2/7, B1=1500000, B2=30000000
2021-04-29	riccardo uberti	CERT	Proof certified good
2021-04-29	daveward2005	C-PRP	M8333131/149996359/879328649383/148175832754826212009 : FB75FF5AE706070E Proof Certified Good Proof Power: 8
2021-04-27	TJAOI	F	Factor: 148175832754826212009
2020-04-23	marssystems	C-PRP	M8333131/149996359/879328649383 : FB75FF5AE706070E
2018-10-16	Oliver Kruse	C-PRP	M8333131/149996359/879328649383 : FB75FF5AE706070E
2008-09-08	Will Edgington	F	Factor: 879328649383