9 161 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
86901247	8	26.4	old
12187849367	11	33.5	old
99315498059851442156376454460239301075287442737	47	156.1	2024-10-23 19:35:29

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	6353 / 16550

Estimated T-Level: 46.9 ⓘ

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	406775237858987B	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	406775237858987B	2	3678	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	2E86579D0003BB20	2	3041	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	2E86579D0003BB20	2	8390	5	3
Verified	No proof (small exponent)	2024-10-23	nordi	2E86579D0003BB20	3	3949	5	3

History

Date	User	Type	Result
2025-04-15	masser	NF-PP1	Start=192/41, B1=1000000000, B2=999000000000
2024-10-23	nordi	C-PRP	M9161/86901247/12187849367/99315498059851442156376454460239301075287442737 : 2E86579D0003BB20
2024-10-23	nordi	F-ECM	Factor: 99315498059851442156376454460239301075287442737 / ECM curve 1837, B1=44000000, B2=1117403522235, Edwards Sigma=3709909251253533
2024-07-01	kkmrkkblmbrbk	C-PRP	M9161/12187849367/86901247 : 2E86579D0003BB20
2023-07-13	JacobZ	NF-PM1	B1=63000000000, B2=255469764292442700
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9161/86901247/12187849367 : 2E86579D0003BB20
2017-10-12	kkmrkkblmbrbk	C-PRP	M9161/86901247/12187849367 : 406775237858987B
2017-09-21	Oliver Kruse	C-PRP	M9161/86901247/12187849367 : 406775237858987B
2017-09-21	Oliver Kruse	C-PRP	M9161/86901247/12187849367 : 406775237858987B