2 531 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
789673	6	19.6	old
193550633	9	27.5	old
28722443765449369894601635787445710984278967	44	144.4	2009-01-04 21:47:21

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	10085 / 40830

Estimated T-Level: 51.2 ⓘ

TF below 2^165 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	EC331E6E899B72E7	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	EC331E6E899B72E7	3	0	1	3
Verified	2017-12-07	ATH	EC331E6E899B72E7	3	574	1	3
Verified	2020-04-17	Oliver Kruse	3A6C520D3BC690E4	3	397	5	3
Verified	2024-02-03	Wentao Huang	3A6C520D3BC690E4	3	651	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2531/789673/193550633/28722443765449369894601635787445710984278967 : 3A6C520D3BC690E4 PRP: Verified PRP without proof (small exponent)
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2021-07-04	ViliamF	NF-PM1	B1=100000000, B2=13100000000
2020-04-17	Oliver Kruse	C-PRP	M2531/789673/193550633/28722443765449369894601635787445710984278967 : 3A6C520D3BC690E4 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2531/789673/193550633/28722443765449369894601635787445710984278967 : EC331E6E899B72E7 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2531/789673/193550633/28722443765449369894601635787445710984278967 : EC331E6E899B72E7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2531/known_factors : EC331E6E899B72E7 PRP without proof (not generated)
2009-01-04	Jayson King	F-ECM	Factor: 28722443765449369894601635787445710984278967