1 784 693 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶¹

Factored

Factor	Digits	Bits	Date
8934173159	10	33.1	old
31697161085253029329	20	64.8	2015-06-20 19:01:07
38889209757579363881	20	65.1	2018-05-23 14:02:11

P-1 factors

Date	Factors	B1	B2
2015-06-20	31697161085253029329	500000	15000000

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Shift	Type	Base
Factored	Certified Good Power=6	2025-09-02	Kriesel	D142FF583FFCEE0D	0	1	3

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2017-09-30	alpertron	4CFDA7510C339DE2	2	0	1	3
Factored	PRP without proof (not generated)	2017-10-19	Oliver Kruse	4CFDA7510C339DE2	2	244506	1	3
Verified	PRP without proof (not generated)	2018-05-24	storm5510	D142FF583FFCEE0D	3	1705952	5	3
Verified	PRP without proof (not generated)	2018-05-25	GdS	D142FF583FFCEE0D	3	1501974	5	3

History

Date	User	Type	Result
2025-09-03	greeves	CERT	Proof certified good
2025-09-02	Kriesel	C-PRP	D142FF583FFCEE0D Proof Certified Good Proof Power: 6
2018-05-25	GdS	C-PRP	M1784693/8934173159/31697161085253029329/38889209757579363881 : D142FF583FFCEE0D
2018-05-24	storm5510	C-PRP	M1784693/8934173159/31697161085253029329/38889209757579363881 : D142FF583FFCEE0D
2018-05-23	TJAOI	F	Factor: 38889209757579363881
2017-10-19	Oliver Kruse	C-PRP	M1784693/8934173159/31697161085253029329 : 4CFDA7510C339DE2
2017-09-30	alpertron	C-PRP	M1784693/31697161085253029329/8934173159 : 4CFDA7510C339DE2
2015-06-20	alpertron	F-PM1	Factor: 31697161085253029329 / B1=500000, B2=15000000