6 659 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
226211124686120782835233945344253671049543	42	137.4	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	2646 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	C797A155CEEA3310	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	C797A155CEEA3310	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	C797A155CEEA3310	1	3502	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5E1C2A246D20AE31	1	4394	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	5E1C2A246D20AE31	1	4825	5	3

History

Date	User	Type	Result
2025-03-21	masser	NF-PP1	Start=88/61, B1=1000000000, B2=999000000000
2025-03-13	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-05	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6659/226211124686120782835233945344253671049543 : 5E1C2A246D20AE31
2023-08-11	-anonymous-	NF-PM1	B1=37000000000, B2=148599418701633900
2020-04-17	Oliver Kruse	C-PRP	M6659/226211124686120782835233945344253671049543 : 5E1C2A246D20AE31
2017-12-07	ATH	C-PRP	M6659/226211124686120782835233945344253671049543 : C797A155CEEA3310
2017-10-02	kkmrkkblmbrbk	C-PRP	M6659/226211124686120782835233945344253671049543 : C797A155CEEA3310
2017-09-21	Oliver Kruse	C-PRP	M6659/known_factors : C797A155CEEA3310
2001-08-18	-anonymous-	F-PM1	Factor: 226211124686120782835233945344253671049543
2001-06-17	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-07-25	-anonymous-	NF	no factor TF: 1-56
2000-02-16	-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