5 333 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
2426064004333395742703	22	71.0	old
2124000044668130142126597697174760570469801582485222935361	58	190.4	2020-10-14 11:50:58

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	12417 / 16550

Estimated T-Level: 48.8 ⓘ

TF below 2^157 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	3900967B36B6B3CE	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	3900967B36B6B3CE	1	244	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	1884F6FA17A0ECB2	1	3200	5	3
Verified	2020-10-14	ATH	1884F6FA17A0ECB2	2	22	5	3

History

Date	User	Type	Result
2023-07-04	-Anonymous-	NF-PM1	B1=59000000000, B2=241667483419362000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2020-10-14	ATH	C-PRP	M5333/2426064004333395742703/2124000044668130142126597697174760570469801582485222935361 : 1884F6FA17A0ECB2 PRP: Verified PRP without proof (small exponent)
2020-10-14	Ryan Propper	F-ECM	Factor: 2124000044668130142126597697174760570469801582485222935361 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=11205378260008983283)
2020-04-17	Oliver Kruse	C-PRP	M5333/2426064004333395742703 : 1884F6FA17A0ECB2 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5333/2426064004333395742703 : 3900967B36B6B3CE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5333/2426064004333395742703 : 3900967B36B6B3CE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5333/2426064004333395742703 : 3900967B36B6B3CE PRP without proof (not generated)