10 177 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 2⁴⁴

Factored

Factor	Digits	Bits	Date
72056047906937	14	46.0	old
230122256974279	15	47.7	2008-08-26 19:58:30
2082147017329201577	19	60.9	2008-08-29 02:24:25
1051950731335235478563374667792974138554891329	46	149.6	2025-05-23 13:30:34

P-1 factors

Date	Factors	B1	B2
2022-10-10	No new factors discovered	100000000000	121570702234581600

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	3287 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	19685D6B9C3A62B3	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	19685D6B9C3A62B3	3	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	19685D6B9C3A62B3	3	8713	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	3E338CEBDAB5B640	3	7147	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	3E338CEBDAB5B640	3	4440	5	3
Verified	No proof (small exponent)	2025-05-23	nordi	3E338CEBDAB5B640	4	8293	5	3

History

Date	User	Type	Result
2025-05-23	nordi	C-PRP	M10177/72056047906937/230122256974279/2082147017329201577/1051950731335235478563374667792974138554891329 : 3E338CEBDAB5B640
2025-05-23	nordi	F-ECM	Factor: 1051950731335235478563374667792974138554891329 / ECM curve 482, B1=44000000, B2=1117403522235, Edwards Sigma=1275084664749432
2025-02-19	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-31	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2025-01-03	masser	NF-PP1	Start=72/53, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10177/2082147017329201577/230122256974279/72056047906937 : 3E338CEBDAB5B640
2022-10-10	Anton Repko	F-PM1	Factor: 2082147017329201577 / B1=100000000000, B2=121570702234581600
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10177/72056047906937/230122256974279/2082147017329201577 : 3E338CEBDAB5B640
2017-10-12	kkmrkkblmbrbk	C-PRP	M10177/72056047906937/230122256974279/2082147017329201577 : 19685D6B9C3A62B3
2017-10-02	kkmrkkblmbrbk	C-PRP	M10177/72056047906937/230122256974279/2082147017329201577 : 19685D6B9C3A62B3
2017-09-21	Oliver Kruse	C-PRP	M10177/known_factors : 19685D6B9C3A62B3
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 2082147017329201577
2008-08-26	-anonymous-	F	Factor: 230122256974279