31 387 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
59509753	8	25.8	old
1206346099687	13	40.1	2008-08-26 19:59:25
677255057696161993076824730156639	33	109.1	2017-06-11 23:51:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1522 / 4588

Estimated T-Level: 36.7 ⓘ

TF below 2^117 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	D7E1BD90DB0FAEB3	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	D7E1BD90DB0FAEB3	3	0	1	3
Verified	2017-12-07	ATH	D7E1BD90DB0FAEB3	3	11943	1	3
Unverified	2020-04-17	Oliver Kruse	A52F5D304E43CA__	3	17675	5	3

History

Date	User	Type	Result
2022-11-08	nordi	NF-PM1	B1=3000000000, B2=912626498753970
2022-09-28	nordi	NF-PM1	B1=3000000000
2020-04-17	Oliver Kruse	C-PRP	M31387/59509753/1206346099687/677255057696161993076824730156639 : A52F5D304E43CA__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M31387/59509753/1206346099687/677255057696161993076824730156639 : D7E1BD90DB0FAEB3 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M31387/59509753/1206346099687/677255057696161993076824730156639 : D7E1BD90DB0FAEB3 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M31387/59509753/1206346099687/677255057696161993076824730156639 : D7E1BD90DB0FAEB3 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M31387/59509753/1206346099687/677255057696161993076824730156639 : D7E1BD90DB0FAEB3 PRP without proof (not generated)
2017-06-11	nordi	F-ECM	Factor: 677255057696161993076824730156639 / (ECM curve 58, B1=1000000, B2=100000000)
2016-10-08	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 1206346099687