3 823 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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	15149 / 40830

Estimated T-Level: 51.9 ⓘ

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

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	5413DCC908209302	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	5413DCC908209302	2	462	1	3
Verified	2019-11-20	mnd9	B5CBE6FB5349F93D	3	3083	5	3
Verified	2019-11-21	mnd9	B5CBE6FB5349F93D	3	1829	5	3
Verified	2019-11-21	marssystems	B5CBE6FB5349F93D	3	1436	5	3
Verified	2020-04-17	Oliver Kruse	B5CBE6FB5349F93D	3	1903	5	3

History

Date	User	Type	Result
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3823/8968759/8756696191/5812424630437373867228313891145287781973613804833 : B5CBE6FB5349F93D PRP: Verified PRP without proof (small exponent)
2019-11-21	marssystems	C-PRP	M3823/8968759/8756696191/5812424630437373867228313891145287781973613804833 : B5CBE6FB5349F93D PRP: Verified PRP without proof (small exponent)
2019-11-21	mnd9	C-PRP	M3823/8968759/8756696191/5812424630437373867228313891145287781973613804833 : B5CBE6FB5349F93D PRP: Verified PRP without proof (small exponent)
2019-11-20	mnd9	C-PRP	M3823/8968759/8756696191/5812424630437373867228313891145287781973613804833 : B5CBE6FB5349F93D PRP: Verified PRP without proof (small exponent)
2019-11-20	Ryan Propper	F-ECM	Factor: 5812424630437373867228313891145287781973613804833 / (ECM curve 1, B1=110000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3823/8968759/8756696191 : 5413DCC908209302 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3823/8968759/8756696191 : 5413DCC908209302 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3823/8968759/8756696191 : 5413DCC908209302 PRP without proof (not generated)