7 333 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
5491103102393	13	42.3	old
4043803706518601	16	51.8	old
2103333969821394327649312753913	31	100.7	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	2708 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	9E76E570B4494FC0	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	9E76E570B4494FC0	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	9E76E570B4494FC0	3	5977	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	7C68CE1EC6498AE9	3	4414	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	7C68CE1EC6498AE9	3	3280	5	3

History

Date	User	Type	Result
2025-04-04	masser	NF-PP1	Start=115/43, B1=830000000, B2=829170000000
2025-03-24	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-16	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M7333/2103333969821394327649312753913/4043803706518601/5491103102393 : 7C68CE1EC6498AE9
2023-08-30	-anonymous-	NF-PM1	B1=33000000000, B2=136591402877229300
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7333/5491103102393/4043803706518601/2103333969821394327649312753913 : 7C68CE1EC6498AE9
2017-12-07	ATH	C-PRP	M7333/5491103102393/4043803706518601/2103333969821394327649312753913 : 9E76E570B4494FC0
2017-10-02	kkmrkkblmbrbk	C-PRP	M7333/5491103102393/4043803706518601/2103333969821394327649312753913 : 9E76E570B4494FC0
2017-09-21	Oliver Kruse	C-PRP	M7333/known_factors : 9E76E570B4494FC0
2009-10-25	Carsten Kossendey	F-PM1	Factor: 4043803706518601