2 857 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
3679817	7	21.8	old
284912783219951	15	48.0	old
47641828523703289	17	55.4	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	2925 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^147 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	12C43DB5D333BCB2	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	12C43DB5D333BCB2	3	0	1	3
Verified	2017-12-07	ATH	12C43DB5D333BCB2	3	2663	1	3
Verified	2020-04-17	Oliver Kruse	53F1FFF718EB992F	3	1420	5	3
Verified	2024-02-03	Wentao Huang	53F1FFF718EB992F	3	1588	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2857/3679817/284912783219951/47641828523703289 : 53F1FFF718EB992F PRP: Verified PRP without proof (small exponent)
2022-02-23	mikr	NF-PM1	B1=60000000000, B2=314806422904433460
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2857/3679817/284912783219951/47641828523703289 : 53F1FFF718EB992F PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2857/3679817/284912783219951/47641828523703289 : 12C43DB5D333BCB2 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2857/3679817/284912783219951/47641828523703289 : 12C43DB5D333BCB2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2857/known_factors : 12C43DB5D333BCB2 PRP without proof (not generated)