8 191 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
338193759479	12	38.3	old
210206826754181103207028761697008013415622289	45	147.2	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	16550 / 16550
55	110000000	40830 / 40830
60	260000000	105362 / 105362
65	800000000	47646 / 194238

Estimated T-Level: 61.2 ⓘ

TF below 2^198 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	107ADA45D88BA9C4	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	107ADA45D88BA9C4	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	107ADA45D88BA9C4	2	4381	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9D20FEA11725C212	2	727	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	9D20FEA11725C212	2	2973	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8191/210206826754181103207028761697008013415622289/338193759479 : 9D20FEA11725C212
2023-06-02	JacobZ	NF-PM1	B1=72000000000, B2=300970872589336950
2022-08-22	some-students	NF-PM1	B1=100000000, B2=326415259170
2021-08-27	H Michaelson	NF-PP1	Start=2/7, B1=1000000000, B2=100000000000
2021-08-25	H Michaelson	NF-PM1	B1=1000000000, B2=100000000000
2021-08-19	H Michaelson	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2021-04-04	Mohammadaminzareiyan	NF-PM1	B1=10000
2020-04-17	Oliver Kruse	C-PRP	M8191/338193759479/210206826754181103207028761697008013415622289 : 9D20FEA11725C212
2017-12-07	ATH	C-PRP	M8191/338193759479/210206826754181103207028761697008013415622289 : 107ADA45D88BA9C4
2017-10-02	kkmrkkblmbrbk	C-PRP	M8191/338193759479/210206826754181103207028761697008013415622289 : 107ADA45D88BA9C4
2017-09-21	Oliver Kruse	C-PRP	M8191/known_factors : 107ADA45D88BA9C4