1 855 849 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
991023367	9	29.9	old
661608025234314311929	21	69.2	2021-08-13 08:30:53
14445906697760712519833	23	73.6	2020-07-20 11:31:32

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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-04	Oliver Kruse	8DBD2FC5F954D5E7	1	0	1	3
Verified (Factored)	2017-11-07	kkmrkkblmbrbk	8DBD2FC5F954D5E7	1	1238206	1	3
Verified (Factored)	2020-07-20	M Miller	5709C507BC47CCF8	2	978850	5	3
Verified (Factored)	2020-07-28	Chang Chia-Tche	5709C507BC47CCF8	2	1441768	5	3
Verified	2021-08-13	SRJ2877	5709C507BC47CCF8	3	420751	5	3

History

Date	User	Type	Result
2021-08-13	Avo	CERT	PRP Certification Proof certified good
2021-08-13	SRJ2877	C-PRP	M1855849/991023367/661608025234314311929/14445906697760712519833 : 5709C507BC47CCF8 PRP proof power = 7 PRP: Verified Proof certified good
2021-08-13	TJAOI	F-ECM	Factor: 661608025234314311929 / (ECM curve 4, B1=50000, B2=6600000)
2020-07-28	Chang Chia-Tche	C-PRP	M1855849/991023367/14445906697760712519833 : 5709C507BC47CCF8 PRP: Verified (Factored) PRP without proof (not generated)
2020-07-20	M Miller	C-PRP	M1855849/991023367/14445906697760712519833 : 5709C507BC47CCF8 PRP: Verified (Factored) PRP without proof (not generated)
2020-07-20	_p95holder_	F-ECM	Factor: 14445906697760712519833 / (ECM curve 1, B1=50000, B2=5000000)
2017-11-07	kkmrkkblmbrbk	C-PRP	M1855849/991023367 : 8DBD2FC5F954D5E7 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1855849/991023367 : 8DBD2FC5F954D5E7 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12