9 661 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
6650507470826633	16	52.6	old
774616948550177602831699967675004353066183	42	139.2	2024-06-16 20:07:07
179462245343684050971408427451616502219663929583	48	157.0	2024-08-07 16:22:51

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	6791 / 16550

Estimated T-Level: 47.1 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	2C5CF188E6796E18	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	2C5CF188E6796E18	1	3427	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	BACDEF5E0DF1F01A	1	2853	5	3
Factored	No proof (small exponent)	2024-06-16	nordi	BACDEF5E0DF1F01A	2	2810	5	3
Verified	No proof (small exponent)	2024-08-07	nordi	BACDEF5E0DF1F01A	3	8284	5	3
Verified	No proof (small exponent)	2024-08-07	nordi	BACDEF5E0DF1F01A	3	867	5	3

History

Date	User	Type	Result
2025-03-26	masser	NF-PP1	Start=145/41, B1=1000000000, B2=999000000000
2024-08-07	nordi	C-PRP	M9661/6650507470826633/774616948550177602831699967675004353066183/179462245343684050971408427451616502219663929583 : BACDEF5E0DF1F01A
2024-08-07	nordi	C-PRP	M9661/6650507470826633/774616948550177602831699967675004353066183/179462245343684050971408427451616502219663929583 : BACDEF5E0DF1F01A
2024-08-07	nordi	F-ECM	Factor: 179462245343684050971408427451616502219663929583 / ECM curve 558, B1=44000000, B2=1117403522235, Edwards Sigma=5679990334299567
2024-06-16	nordi	C-PRP	M9661/6650507470826633/774616948550177602831699967675004353066183 : BACDEF5E0DF1F01A
2024-06-16	nordi	F-ECM	Factor: 774616948550177602831699967675004353066183 / ECM curve 38, B1=11000000, B2=59545616130, Edwards Sigma=5021499887918638
2023-06-20	JacobZ	NF-PM1	B1=60000000000, B2=244568457101868900
2022-01-03	ANONYMOUS	NF-PM1	B1=100000000, B2=5133438650340
2020-04-17	Oliver Kruse	C-PRP	M9661/6650507470826633 : BACDEF5E0DF1F01A
2017-10-12	kkmrkkblmbrbk	C-PRP	M9661/6650507470826633 : 2C5CF188E6796E18
2017-09-21	Oliver Kruse	C-PRP	M9661/6650507470826633 : 2C5CF188E6796E18
2017-09-21	Oliver Kruse	C-PRP	M9661/6650507470826633 : 2C5CF188E6796E18