3 823 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
8968759	7	23.1	old
8756696191	10	33.0	old
5812424630437373867228313891145287781973613804833	49	162.0	2019-11-20 14:39:49

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	16550 / 16550
55	110000000	15187 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	5413DCC908209302	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	5413DCC908209302	2	462	1	3
Verified	No proof (small exponent)	2019-11-20	mnd9	B5CBE6FB5349F93D	3	3083	5	3
Verified	No proof (small exponent)	2019-11-21	mnd9	B5CBE6FB5349F93D	3	1829	5	3
Verified	No proof (small exponent)	2019-11-21	marssystems	B5CBE6FB5349F93D	3	1436	5	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B5CBE6FB5349F93D	3	1903	5	3

History

Date	User	Type	Result
2025-05-08	masser	NF-PP1	Start=189/31, B1=2600000000, B2=2597400000000
2024-07-06	masser	NF-PM1	B1=77000000000, B2=107394883037442000
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-04-17	Oliver Kruse	C-PRP	M3823/8968759/8756696191/5812424630437373867228313891145287781973613804833 : B5CBE6FB5349F93D
2019-11-21	marssystems	C-PRP	M3823/8968759/8756696191/5812424630437373867228313891145287781973613804833 : B5CBE6FB5349F93D
2019-11-21	mnd9	C-PRP	M3823/8968759/8756696191/5812424630437373867228313891145287781973613804833 : B5CBE6FB5349F93D
2019-11-20	mnd9	C-PRP	M3823/8968759/8756696191/5812424630437373867228313891145287781973613804833 : B5CBE6FB5349F93D
2019-11-20	Ryan Propper	F-ECM	Factor: 5812424630437373867228313891145287781973613804833
2017-10-12	kkmrkkblmbrbk	C-PRP	M3823/8968759/8756696191 : 5413DCC908209302
2017-09-21	Oliver Kruse	C-PRP	M3823/8968759/8756696191 : 5413DCC908209302
2017-09-21	Oliver Kruse	C-PRP	M3823/8968759/8756696191 : 5413DCC908209302
2009-10-25	Carsten Kossendey	F	Factor: 78536697773296969
2009-03-02	kiwiboy	F	Factor: 78536697773296969
2005-03-20	-anonymous-	F	Factor: 78536697773296969