4 397 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
149118978601	12	37.1	old
1432803526457417	16	50.3	old
289041852087298746712043757073410343587428123771191294135823	60	197.5	2020-10-01 02:17:25

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	14009 / 40830

Estimated T-Level: 51.7 ⓘ

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	AE21FC6EF69470B8	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	AE21FC6EF69470B8	2	771	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	42CB08130A252F9A	2	4332	5	3
Verified	2020-10-01	M Miller	42CB08130A252F9A	3	2785	5	3
Verified	2020-10-01	mnd9	42CB08130A252F9A	3	2640	5	3

History

Date	User	Type	Result
2023-05-22	-Anonymous-	NF-PM1	B1=73000000000, B2=731797616052553050
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-10-01	mnd9	C-PRP	M4397/149118978601/1432803526457417/289041852087298746712043757073410343587428123771191294135823 : 42CB08130A252F9A PRP: Verified PRP without proof (small exponent)
2020-10-01	M Miller	C-PRP	M4397/149118978601/1432803526457417/289041852087298746712043757073410343587428123771191294135823 : 42CB08130A252F9A PRP: Verified PRP without proof (small exponent)
2020-10-01	Ryan Propper	F-ECM	Factor: 289041852087298746712043757073410343587428123771191294135823 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=1673610197772850481)
2020-04-17	Oliver Kruse	C-PRP	M4397/149118978601/1432803526457417 : 42CB08130A252F9A PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4397/149118978601/1432803526457417 : AE21FC6EF69470B8 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4397/149118978601/1432803526457417 : AE21FC6EF69470B8 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4397/149118978601/1432803526457417 : AE21FC6EF69470B8 PRP without proof (not generated)