5 441 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
3656353	7	21.8	old
2134224167510497941313	22	70.9	old
13397892851640910047156779595732470051599	41	133.3	2020-10-05 20:55:49
464420085789254966168772141197805468788399	42	138.4	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	11504 / 16550

Estimated T-Level: 48.5 ⓘ

TF below 2^156 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	0366A10FA8DEB3F8	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	0366A10FA8DEB3F8	3	0	1	3
Verified (Factored)	2017-12-07	ATH	0366A10FA8DEB3F8	3	4027	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	08B289DFCB661761	3	2808	5	3
Verified	2020-10-06	mnd9	08B289DFCB661761	4	2597	5	3
Verified	2020-10-08	arnaud	08B289DFCB661761	4	3769	5	3

History

Date	User	Type	Result
2023-07-09	-Anonymous-	NF-PM1	B1=46000000000, B2=193133522175293700
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2020-10-08	arnaud	C-PRP	M5441/3656353/2134224167510497941313/464420085789254966168772141197805468788399/13397892851640910047156779595732470051599 : 08B289DFCB661761 PRP: Verified PRP without proof (small exponent)
2020-10-06	mnd9	C-PRP	M5441/3656353/2134224167510497941313/13397892851640910047156779595732470051599/464420085789254966168772141197805468788399 : 08B289DFCB661761 PRP: Verified PRP without proof (small exponent)
2020-10-05	Ryan Propper	F-ECM	Factor: 13397892851640910047156779595732470051599 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=12177707586060107599)
2020-04-17	Oliver Kruse	C-PRP	M5441/3656353/2134224167510497941313/464420085789254966168772141197805468788399 : 08B289DFCB661761 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5441/3656353/2134224167510497941313/464420085789254966168772141197805468788399 : 0366A10FA8DEB3F8 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5441/3656353/2134224167510497941313/464420085789254966168772141197805468788399 : 0366A10FA8DEB3F8 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5441/known_factors : 0366A10FA8DEB3F8 PRP without proof (not generated)