7 177 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
40689508079890260035646243353	29	95.0	old

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	4427 / 16550

Estimated T-Level: 46.3 ⓘ

TF below 2^149 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	380A9688B378ADFE	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	380A9688B378ADFE	1	1109	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C8CA7CF3EA30691D	1	3835	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	C8CA7CF3EA30691D	1	936	5	3

History

Date	User	Type	Result
2025-04-02	masser	NF-PP1	Start=130/31, B1=830000000, B2=829170000000
2025-03-21	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-14	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7177/40689508079890260035646243353 : C8CA7CF3EA30691D
2023-08-25	-anonymous-	NF-PM1	B1=34000000000, B2=142096338314180250
2020-04-17	Oliver Kruse	C-PRP	M7177/40689508079890260035646243353 : C8CA7CF3EA30691D
2017-10-12	kkmrkkblmbrbk	C-PRP	M7177/40689508079890260035646243353 : 380A9688B378ADFE
2017-09-21	Oliver Kruse	C-PRP	M7177/40689508079890260035646243353 : 380A9688B378ADFE
2017-09-21	Oliver Kruse	C-PRP	M7177/40689508079890260035646243353 : 380A9688B378ADFE
2005-03-20	-anonymous-	F-ECM	Factor: 40689508079890260035646243353
2002-06-09	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000, E=48
2001-08-31	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-06-23	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-07-17	-anonymous-	NF	no factor TF: 1-56
2000-02-23	-anonymous-	NF	no factor TF: 54-55
1999-12-30	-anonymous-	NF	no factor TF: 53-54
1999-09-22	-anonymous-	NF	no factor TF: 52-53