7 433 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1735955307676370227033	22	70.6	old
449110207092437996367967	24	78.6	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	2753 / 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	5537D4B4C6D8C922	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	5537D4B4C6D8C922	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	5537D4B4C6D8C922	2	3517	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	744C3125E09C9F03	2	509	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	744C3125E09C9F03	2	6815	5	3

History

Date	User	Type	Result
2025-04-13	masser	NF-PP1	Start=185/41, B1=830000000, B2=829170000000
2025-03-26	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-16	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7433/1735955307676370227033/449110207092437996367967 : 744C3125E09C9F03
2023-08-30	-anonymous-	NF-PM1	B1=40000000000, B2=169617550478676300
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7433/1735955307676370227033/449110207092437996367967 : 744C3125E09C9F03
2017-12-07	ATH	C-PRP	M7433/1735955307676370227033/449110207092437996367967 : 5537D4B4C6D8C922
2017-10-02	kkmrkkblmbrbk	C-PRP	M7433/1735955307676370227033/449110207092437996367967 : 5537D4B4C6D8C922
2017-09-21	Oliver Kruse	C-PRP	M7433/known_factors : 5537D4B4C6D8C922