9 221 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
719239	6	19.5	old
91841161	8	26.5	old
168025063	9	27.3	old
5660569039	10	32.4	old
135084015432199	15	46.9	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	5917 / 16550

Estimated T-Level: 46.8 ⓘ

TF below 2^150 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	08E774D7C7211C46	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	08E774D7C7211C46	5	0	1	3
Verified	2017-12-07	ATH	08E774D7C7211C46	5	5934	1	3
Verified	2020-04-17	Oliver Kruse	A1C8B9A07349EC7B	5	4781	5	3
Verified	2023-06-11	LordJulius	A1C8B9A07349EC7B	5	7193	5	3

History

Date	User	Type	Result
2023-07-11	JacobZ	NF-PM1	B1=63000000000, B2=255469764292442700
2023-06-11	LordJulius	C-PRP	M9221/719239/91841161/168025063/5660569039/135084015432199 : A1C8B9A07349EC7B PRP: Verified PRP without proof (small exponent)
2023-06-11	LordJulius	NF-PM1	B1=2000000000, B2=24398084610900
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9221/719239/91841161/168025063/5660569039/135084015432199 : A1C8B9A07349EC7B PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9221/719239/91841161/168025063/5660569039/135084015432199 : 08E774D7C7211C46 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9221/719239/91841161/168025063/5660569039/135084015432199 : 08E774D7C7211C46 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9221/known_factors : 08E774D7C7211C46 PRP without proof (not generated)