2 731 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
93968249	8	26.5	old
5235895818143	13	42.3	old
697275709026751	15	49.3	old
563358792984278565516774152727223543227673	42	138.7	2014-12-18 20:34:34

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	7040 / 40830

Estimated T-Level: 50.9 ⓘ

TF below 2^164 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	38C267FCC6F6D0ED	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	38C267FCC6F6D0ED	4	0	1	3
Verified	2017-12-07	ATH	38C267FCC6F6D0ED	4	1016	1	3
Verified	2020-04-17	Oliver Kruse	3180A26F3DCBAA64	4	2600	5	3
Verified	2024-02-03	Wentao Huang	3180A26F3DCBAA64	4	684	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 3180A26F3DCBAA64 PRP: Verified PRP without proof (small exponent)
2022-03-27	mikr	NF-PM1	B1=70000000000, B2=367004699921960100
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 3180A26F3DCBAA64 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 38C267FCC6F6D0ED PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 38C267FCC6F6D0ED PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2731/known_factors : 38C267FCC6F6D0ED PRP without proof (not generated)
2014-12-18	philmoore	F-ECM	Factor: 563358792984278565516774152727223543227673