3 586 171 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
494891599	9	28.9	old
1011573714560624153	19	59.8	2015-12-16 12:14:02
2139108244574191011167	22	70.9	2022-05-21 08:29:34

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

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

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-09	kkmrkkblmbrbk	9135429AE6AAEA36	2	1831029	5	3
Verified (Factored)	2017-11-25	Oliver Kruse	9135429AE6AAEA36	2	3172646	5	3
Verified	2022-05-27	XZT	9135429AE6AAEA36	3	654927	5	3

P-1 factors

Date	Factor	B1	B2
2022-05-21	2139108244574191011167	100000	130364850

History

Date	User	Type	Result
2022-10-04	Joss	NF-PM1	B1=1000000, B2=130364850
2022-05-27	Chad Steenerson	CERT	PRP Certification Proof certified good
2022-05-27	XZT	C-PRP	M3586171/494891599/1011573714560624153/2139108244574191011167 : 9135429AE6AAEA36 PRP proof power = 7 PRP: Verified Proof certified good
2022-05-21	Joss	F-PM1	Factor: 2139108244574191011167 / (P-1, B1=100000, B2=130364850)
2022-03-22	Joss	NF-PM1	B1=100000
2022-03-04	Joss	NF-PM1	B1=90000
2017-11-25	Oliver Kruse	C-PRP	M3586171/494891599/1011573714560624153 : 9135429AE6AAEA36 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-09	kkmrkkblmbrbk	C-PRP	M3586171/494891599/1011573714560624153 : 9135429AE6AAEA36 PRP: Verified (Factored) PRP without proof (not generated)
2015-12-16	TJAOI	F	Factor: 1011573714560624153 / TF: 59-60