3 343 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
21395366139013330348249888032891790630577329313	47	153.9	old
42322984464484074454665873278599117747583616091199	50	164.9	2019-09-20 12:27:17

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	15135 / 40830

Estimated T-Level: 51.9 ⓘ

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	5F9EFDD250F5052C	1	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	5F9EFDD250F5052C	1	0	1	3
Verified (Factored)	2017-12-07	ATH	5F9EFDD250F5052C	1	1853	1	3
Verified	2019-09-21	mnd9	88DF67EEF8632327	2	3191	5	3
Verified	2019-09-22	GAN	88DF67EEF8632327	2	3066	5	3
Verified	2020-04-17	Oliver Kruse	88DF67EEF8632327	2	1499	5	3

History

Date	User	Type	Result
2024-05-20	masser	NF-PM1	B1=77000000000, B2=107407104446211570
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=193000000000
2020-04-17	Oliver Kruse	C-PRP	M3343/21395366139013330348249888032891790630577329313/42322984464484074454665873278599117747583616091199 : 88DF67EEF8632327 PRP: Verified PRP without proof (small exponent)
2019-09-22	GAN	C-PRP	M3343/21395366139013330348249888032891790630577329313/42322984464484074454665873278599117747583616091199 : 88DF67EEF8632327 PRP: Verified PRP without proof (small exponent)
2019-09-21	mnd9	C-PRP	M3343/21395366139013330348249888032891790630577329313/42322984464484074454665873278599117747583616091199 : 88DF67EEF8632327 PRP: Verified PRP without proof (small exponent)
2019-09-20	Ryan Propper	F-ECM	Factor: 42322984464484074454665873278599117747583616091199 / (ECM curve 59, B1=43000000)
2017-12-07	ATH	C-PRP	M3343/21395366139013330348249888032891790630577329313 : 5F9EFDD250F5052C PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3343/21395366139013330348249888032891790630577329313 : 5F9EFDD250F5052C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3343/known_factors : 5F9EFDD250F5052C PRP without proof (not generated)