4 327 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
946574521	9	29.8	old
354536752771249	15	48.3	old
161510437409675503	18	57.2	old
621316165862254523582603721415095832031	39	128.9	2020-09-30 15:48:30

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	14520 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	08ECBE5F22C5E8AB	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	08ECBE5F22C5E8AB	3	0	1	3
Verified (Factored)	2017-12-07	ATH	08ECBE5F22C5E8AB	3	2609	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	56BC5AF53E8E68EE	3	3370	5	3
Verified	2020-10-01	mnd9	56BC5AF53E8E68EE	4	868	5	3
Verified	2020-10-03	fre_games	56BC5AF53E8E68EE	4	2297	5	3

History

Date	User	Type	Result
2023-05-20	-Anonymous-	NF-PM1	B1=74000000000, B2=741754046177194050
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-10-03	fre_games	C-PRP	M4327/946574521/354536752771249/161510437409675503/621316165862254523582603721415095832031 : 56BC5AF53E8E68EE PRP: Verified PRP without proof (small exponent)
2020-10-01	mnd9	C-PRP	M4327/946574521/354536752771249/161510437409675503/621316165862254523582603721415095832031 : 56BC5AF53E8E68EE PRP: Verified PRP without proof (small exponent)
2020-09-30	Ryan Propper	F-ECM	Factor: 621316165862254523582603721415095832031 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=16856555402872410790)
2020-04-17	Oliver Kruse	C-PRP	M4327/946574521/354536752771249/161510437409675503 : 56BC5AF53E8E68EE PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4327/946574521/354536752771249/161510437409675503 : 08ECBE5F22C5E8AB PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4327/946574521/354536752771249/161510437409675503 : 08ECBE5F22C5E8AB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4327/known_factors : 08ECBE5F22C5E8AB PRP without proof (not generated)