3 323 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
2312809	7	21.1	old
3836386129806878405138356386460933977607	40	131.5	2018-11-13 02:59:25
492811114533206709405104003031774724981471998186748477896980908033	66	218.2	2021-06-14 17:27:27

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	14901 / 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	6F3CD2483CDCF374	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	6F3CD2483CDCF374	1	2977	1	3
Verified (Factored)	2018-11-13	M8909387	D4B4E87C30847F87	2	1864	5	3
Verified (Factored)	2018-11-15	Oliver Kruse	D4B4E87C30847F87	2	2329	5	3
Verified (Factored)	2020-04-17	Oliver Kruse	D4B4E87C30847F87	2	2870	5	3
Verified	2021-06-15	Daniil Tsarkov	D4B4E87C30847F87	3	1095	5	3
Verified	2021-06-18	Chad Steenerson	D4B4E87C30847F87	3	740	5	3

History

Date	User	Type	Result
2024-05-19	masser	NF-PM1	B1=77000000000, B2=52314384983941080
2022-01-01	LordJulius	NF-PM1	B1=10000000000, B2=1081780886416230
2021-06-18	Chad Steenerson	C-PRP	M3323/2312809/3836386129806878405138356386460933977607/492811114533206709405104003031774724981471998186748477896980908033 : D4B4E87C30847F87 PRP: Verified PRP without proof (small exponent)
2021-06-15	Daniil Tsarkov	C-PRP	M3323/2312809/3836386129806878405138356386460933977607/492811114533206709405104003031774724981471998186748477896980908033 : D4B4E87C30847F87 PRP: Verified PRP without proof (small exponent)
2021-06-14	Ryan Propper	F-ECM	Factor: 492811114533206709405104003031774724981471998186748477896980908033 / (ECM curve 1, B1=260000000, B2=3650312415768, Sigma=5908314029316320256)
2020-04-17	Oliver Kruse	C-PRP	M3323/2312809/3836386129806878405138356386460933977607 : D4B4E87C30847F87 PRP: Verified PRP without proof (small exponent)
2018-11-15	Oliver Kruse	C-PRP	M3323/2312809/3836386129806878405138356386460933977607 : D4B4E87C30847F87 PRP: Verified PRP without proof (small exponent)
2018-11-13	M8909387	C-PRP	M3323/2312809/3836386129806878405138356386460933977607 : D4B4E87C30847F87 PRP: Verified PRP without proof (small exponent)
2018-11-13	eteo	F-ECM	Factor: 3836386129806878405138356386460933977607 / (ECM curve 694, B1=11000000, B2=1100000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3323/2312809 : 6F3CD2483CDCF374 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3323/2312809 : 6F3CD2483CDCF374 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3323/2312809 : 6F3CD2483CDCF374 PRP without proof (not generated)