9 601 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 8 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2285039	7	21.1	old
3513967	7	21.7	old
16974569	8	24.0	old
69988966559	11	36.0	old
464364915811241	15	48.7	old
40181706915495553	17	55.2	old
298477640803992004890793	24	78.0	old
2120920932089115033169293473	28	90.8	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	9615 / 16550

Estimated T-Level: 47.9 ⓘ

TF below 2^154 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	8B4EA20E5758F0F1	8	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	8B4EA20E5758F0F1	8	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	8B4EA20E5758F0F1	8	9536	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A899575DE693AB83	8	3356	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	A899575DE693AB83	8	8569	5	3

History

Date	User	Type	Result
2025-03-29	masser	NF-PP1	Start=196/29, B1=1000000000, B2=999000000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M9601/16974569/2120920932089115033169293473/2285039/298477640803992004890793/3513967/40181706915495553/464364915811241/69988966559 : A899575DE693AB83
2022-09-18	nordi	NF-PM1	B1=100000000000, B2=100066338014823180
2022-03-18	nordi	NF-PM1	B1=100000000000
2020-04-17	Oliver Kruse	C-PRP	M9601/2285039/3513967/16974569/69988966559/464364915811241/40181706915495553/298477640803992004890793/2120920932089115033169293473 : A899575DE693AB83
2017-12-07	ATH	C-PRP	M9601/2285039/3513967/16974569/69988966559/464364915811241/40181706915495553/298477640803992004890793/2120920932089115033169293473 : 8B4EA20E5758F0F1
2017-10-02	kkmrkkblmbrbk	C-PRP	M9601/2285039/3513967/16974569/69988966559/464364915811241/40181706915495553/298477640803992004890793/2120920932089115033169293473 : 8B4EA20E5758F0F1
2017-09-21	Oliver Kruse	C-PRP	M9601/known_factors : 8B4EA20E5758F0F1