9 851 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
78809	5	16.3	old
3723679	7	21.8	old
14177526370584537994393252454153	32	103.5	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	6755 / 16550

Estimated T-Level: 47.0 ⓘ

TF below 2^151 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	3B12E8B5A1A85C37	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	3B12E8B5A1A85C37	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	3B12E8B5A1A85C37	3	870	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	DBA79DF2A1B2D9A9	3	8455	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	DBA79DF2A1B2D9A9	3	732	5	3

History

Date	User	Type	Result
2025-03-20	masser	NF-PP1	Start=74/29, B1=1000000000, B2=999000000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M9851/14177526370584537994393252454153/3723679/78809 : DBA79DF2A1B2D9A9
2023-06-13	JacobZ	NF-PM1	B1=58000000000, B2=241250667952694400
2022-12-18	Kevin_9611	NF-PM1	B1=1000000000, B2=10429105156470
2022-02-05	Joss	NF-PM1	B1=1000000, B2=6010952007060
2020-04-17	Oliver Kruse	C-PRP	M9851/78809/3723679/14177526370584537994393252454153 : DBA79DF2A1B2D9A9
2017-12-07	ATH	C-PRP	M9851/78809/3723679/14177526370584537994393252454153 : 3B12E8B5A1A85C37
2017-10-02	kkmrkkblmbrbk	C-PRP	M9851/78809/3723679/14177526370584537994393252454153 : 3B12E8B5A1A85C37
2017-09-21	Oliver Kruse	C-PRP	M9851/known_factors : 3B12E8B5A1A85C37