6 373 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
38239	5	15.2	old
140207	6	17.1	old
207849023	9	27.6	old
590432959	9	29.1	old
240506556332664361	18	57.7	old
2281781170953854076028519	25	80.9	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	3184 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 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	53781F72BC9AAABB	6	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	53781F72BC9AAABB	6	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	53781F72BC9AAABB	6	2652	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9836C53712C4DDEB	6	1923	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	9836C53712C4DDEB	6	2703	5	3

History

Date	User	Type	Result
2025-03-19	masser	NF-PP1	Start=131/47, B1=1000000000, B2=999000000000
2025-03-11	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-02	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6373/38239/140207/207849023/590432959/240506556332664361/2281781170953854076028519 : 9836C53712C4DDEB
2023-08-05	-anonymous-	NF-PM1	B1=38000000000, B2=159110268557139900
2021-05-21	nigel	F-ECM	Factor: 158241985390871316985848886105626085297408921 / ECM curve 1, B1=3000000, B2=300000000, Montgomery Sigma=3676258063523874
2020-04-17	Oliver Kruse	C-PRP	M6373/38239/140207/207849023/590432959/240506556332664361/2281781170953854076028519 : 9836C53712C4DDEB
2017-12-07	ATH	C-PRP	M6373/38239/140207/207849023/590432959/240506556332664361/2281781170953854076028519 : 53781F72BC9AAABB
2017-10-02	kkmrkkblmbrbk	C-PRP	M6373/38239/140207/207849023/590432959/240506556332664361/2281781170953854076028519 : 53781F72BC9AAABB
2017-09-21	Oliver Kruse	C-PRP	M6373/known_factors : 53781F72BC9AAABB