4 057 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
97369	5	16.6	old
9421717153	10	33.1	old
8078840136622039	16	52.8	old
1024030369263081913	19	59.8	old
228819713966222609405733577380694244969	39	127.4	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	16550 / 16550
55	110000000	18980 / 40830

Estimated T-Level: 52.3 ⓘ

TF below 2^169 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	698122882372B0A9	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	698122882372B0A9	5	0	1	3
Verified	2017-12-07	ATH	698122882372B0A9	5	3547	1	3
Verified	2020-04-17	Oliver Kruse	A7919359AF72F63E	5	155	5	3
Verified	2024-02-03	Wentao Huang	A7919359AF72F63E	5	1803	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4057/97369/9421717153/8078840136622039/1024030369263081913/228819713966222609405733577380694244969 : A7919359AF72F63E PRP: Verified PRP without proof (small exponent)
2023-05-16	-Anonymous-	NF-PM1	B1=80000000000, B2=805164698570622390
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M4057/97369/9421717153/8078840136622039/1024030369263081913/228819713966222609405733577380694244969 : A7919359AF72F63E PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4057/97369/9421717153/8078840136622039/1024030369263081913/228819713966222609405733577380694244969 : 698122882372B0A9 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4057/97369/9421717153/8078840136622039/1024030369263081913/228819713966222609405733577380694244969 : 698122882372B0A9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4057/known_factors : 698122882372B0A9 PRP without proof (not generated)