7 411 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
1022719	7	20.0	old
133709263	9	27.0	old
153496633	9	27.2	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	4418 / 16550

Estimated T-Level: 46.3 ⓘ

TF below 2^149 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	AB5AF2A5F83978F3	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	AB5AF2A5F83978F3	3	3941	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6F249380797E1880	3	1063	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	6F249380797E1880	3	3916	5	3

History

Date	User	Type	Result
2025-04-04	masser	NF-PP1	Start=194/37, 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	M7411/1022719/133709263/153496633 : 6F249380797E1880
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	M7411/1022719/133709263/153496633 : 6F249380797E1880
2017-10-12	kkmrkkblmbrbk	C-PRP	M7411/1022719/133709263/153496633 : AB5AF2A5F83978F3
2017-09-21	Oliver Kruse	C-PRP	M7411/1022719/133709263/153496633 : AB5AF2A5F83978F3
2017-09-21	Oliver Kruse	C-PRP	M7411/1022719/133709263/153496633 : AB5AF2A5F83978F3
2009-10-25	Carsten Kossendey	F	Factor: 20990204647864276391401