10 177 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

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

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1282 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	19685D6B9C3A62B3	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	19685D6B9C3A62B3	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	19685D6B9C3A62B3	3	8713	1	3
Verified	2020-04-17	Oliver Kruse	3E338CEBDAB5B640	3	7147	5	3
Verified	2024-07-01	kkmrkkblmbrbk	3E338CEBDAB5B640	3	4440	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-10	2082147017329201577	100000000000	121570702234581600

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10177/2082147017329201577/230122256974279/72056047906937 : 3E338CEBDAB5B640 PRP: Verified PRP without proof (small exponent)
2022-10-10	Anton Repko	F-PM1	Factor: 2082147017329201577 / (P-1, 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 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10177/72056047906937/230122256974279/2082147017329201577 : 19685D6B9C3A62B3 PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10177/72056047906937/230122256974279/2082147017329201577 : 19685D6B9C3A62B3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10177/known_factors : 19685D6B9C3A62B3 PRP without proof (not generated)
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