1 909 003 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
677031645099849339479	21	69.2	2021-05-20 10:35:40
609172179441224690391647	24	79.0	2021-12-17 10:36:48
438088136960062145890118315000876081	36	118.4	2011-06-13 08:26:33

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	Shift
Verified (Factored)		Thomas Honold	1FBDD257E9C0B2D5	0
Verified (Factored)	1998-12-21	Bruce Mitchell	1FBDD257E9C0B2D5	362578

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-04	Oliver Kruse	0F3709E292CE68BE	1	0	1	3
Verified (Factored)	2017-11-15	kkmrkkblmbrbk	0F3709E292CE68BE	1	1689671	1	3
Verified (Factored)	2021-05-20	MarkS	AB99A60DF309B779	2	6137	5	3
Verified (Factored)	2021-05-20	mikr	AB99A60DF309B779	2	1743837	5	3
Verified	2021-12-22	mrh	AB99A60DF309B779	3	842846	5	3

History

Date	User	Type	Result
2021-12-22	ky0uraku	CERT	PRP Certification Proof certified good
2021-12-22	mrh	C-PRP	M1909003/438088136960062145890118315000876081/677031645099849339479/609172179441224690391647 : AB99A60DF309B779 PRP proof power = 7 PRP: Verified Proof certified good
2021-12-17	TJAOI	F-ECM	Factor: 609172179441224690391647 / (ECM curve 20, B1=50000, B2=6600000)
2021-05-20	curtisc	CERT	PRP Certification Proof certified good
2021-05-20	mikr	C-PRP	M1909003/677031645099849339479/438088136960062145890118315000876081 : AB99A60DF309B779 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2021-05-20	arnaud	CERT	PRP Certification Proof certified good
2021-05-20	MarkS	C-PRP	M1909003/438088136960062145890118315000876081/677031645099849339479 : AB99A60DF309B779 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2021-05-20	Dylan Delgado	F-ECM	Factor: 677031645099849339479 / (ECM curve 6, B1=50000, B2=6750000, Sigma=8024390880286917)
2017-11-15	kkmrkkblmbrbk	C-PRP	M1909003/438088136960062145890118315000876081 : 0F3709E292CE68BE PRP: Verified (Factored) PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1909003/438088136960062145890118315000876081 : 0F3709E292CE68BE PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2011-06-13	kurly	F-PM1	Factor: 438088136960062145890118315000876081
2011-03-04	GrunwalderGIMP	NF	no factor from 2^62 to 2^63
2011-03-04	GrunwalderGIMP	NF	no factor from 2^61 to 2^62
2009-05-27	Architects Cubed	NF	no factor from 2^60 to 2^61