9 781 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
176141975350148346616820497	27	87.2	old
3528158360791942352329812337769	31	101.5	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	6719 / 16550

Estimated T-Level: 47.0 ⓘ

TF below 2^151 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	5794E25DD31139F1	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	5794E25DD31139F1	2	0	1	3
Verified	2017-12-07	ATH	5794E25DD31139F1	2	4468	1	3
Verified	2020-04-17	Oliver Kruse	9EECEFB1E4DD43EF	2	2448	5	3
Verified	2024-07-01	kkmrkkblmbrbk	9EECEFB1E4DD43EF	2	4394	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9781/176141975350148346616820497/3528158360791942352329812337769 : 9EECEFB1E4DD43EF PRP: Verified PRP without proof (small exponent)
2023-06-16	JacobZ	NF-PM1	B1=59000000000, B2=250256095608669150
2022-01-03	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9781/176141975350148346616820497/3528158360791942352329812337769 : 9EECEFB1E4DD43EF PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9781/176141975350148346616820497/3528158360791942352329812337769 : 5794E25DD31139F1 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9781/176141975350148346616820497/3528158360791942352329812337769 : 5794E25DD31139F1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9781/known_factors : 5794E25DD31139F1 PRP without proof (not generated)