1 322 117 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 2⁶⁰

Factored

Factor	Digits	Bits	Date
7932703	7	22.9	old
7600073859930012239	19	62.7	2016-09-30 17:22:15
1377400822498999844521	22	70.2	2017-11-07 17:26:39
303961364966833389057723751	27	88.0	2018-05-18 10:18:17

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	105 / 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	2025-09-01	Kriesel	33E4017AF911B1DF	0	1	3

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2017-09-30	Oliver Kruse	6E6C44526914BE68	2	0	1	3
Factored	PRP without proof (not generated)	2017-11-04	kkmrkkblmbrbk	6E6C44526914BE68	2	1132276	1	3
Factored	PRP without proof (not generated)	2017-11-08	Oliver Kruse	33E4017AF911B1DF	3	282557	5	3
Factored	PRP without proof (not generated)	2017-11-08	Wentao Huang	02EF2F64834828DF	1	0	1	3
Factored	PRP without proof (not generated)	2017-11-08	kkmrkkblmbrbk	33E4017AF911B1DF	3	1148200	5	3
Factored	PRP without proof (not generated)	2017-11-08	Yaroslav Berezhko	33E4017AF911B1DF	3	12818	5	3
Verified	PRP without proof (not generated)	2018-05-18	ATH	33E4017AF911B1DF	4	843164	5	3
Verified	PRP without proof (not generated)	2018-06-21	chuenkit	33E4017AF911B1DF	4	608329	5	3
Verified	Certified Good	2024-09-23	kkmrkkblmbrbk	33E4017AF911B1DF	4	215928	5	3

History

Date	User	Type	Result
2025-09-03	ANONYMOUS	CERT	Proof certified good
2025-09-01	Kriesel	C-PRP	33E4017AF911B1DF Proof Certified Good Proof Power: 6
2024-09-23	Ignacio_Larrosa	CERT	Proof certified good
2024-09-23	kkmrkkblmbrbk	C-PRP	M1322117/7932703/7600073859930012239/1377400822498999844521/303961364966833389057723751 : 33E4017AF911B1DF Proof Certified Good Proof Power: 6
2018-06-21	chuenkit	C-PRP	M1322117/7932703/7600073859930012239/1377400822498999844521/303961364966833389057723751 : 33E4017AF911B1DF
2018-05-18	ATH	C-PRP	M1322117/7932703/7600073859930012239/1377400822498999844521/303961364966833389057723751 : 33E4017AF911B1DF
2018-05-18	TJAOI	F-ECM	Factor: 303961364966833389057723751
2017-11-08	Yaroslav Berezhko	C-PRP	M1322117/7932703/7600073859930012239/1377400822498999844521 : 33E4017AF911B1DF
2017-11-08	kkmrkkblmbrbk	C-PRP	M1322117/7932703/7600073859930012239/1377400822498999844521 : 33E4017AF911B1DF Proof Certified Good Proof Power: 6
2017-11-08	Wentao Huang	C-PRP	M1322117/known_factors : 02EF2F64834828DF
2017-11-08	Oliver Kruse	C-PRP	M1322117/7932703/7600073859930012239/1377400822498999844521 : 33E4017AF911B1DF
2017-11-07	ATH	F-ECM	Factor: 1377400822498999844521
2017-11-04	kkmrkkblmbrbk	C-PRP	M1322117/7932703/7600073859930012239 : 6E6C44526914BE68 Proof Certified Good Proof Power: 6
2017-09-30	Oliver Kruse	C-PRP	M1322117/7932703/7600073859930012239 : 6E6C44526914BE68
2016-09-30	TJAOI	F	Factor: 7600073859930012239
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12