31 667 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
3038321983	10	31.5	old
168149743313	12	37.3	2008-08-26 19:59:26
3251654353201478112678729755597446391	37	121.3	2022-11-09 10:39:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1341 / 4588

Estimated T-Level: 36.5 ⓘ

TF below 2^116 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	C974206CD199FBE6	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	C974206CD199FBE6	2	3055	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	DD7FCA2D7D0EB84C	2	11676	5	3
Verified	2022-11-09	nordi	DD7FCA2D7D0EB84C	3	6267	5	3

P-1 factors

Date	Factor	B1	B2
2022-11-09	3251654353201478112678729755597446391	3000000000	912626498753970

History

Date	User	Type	Result
2022-11-09	nordi	C-PRP	M31667/3038321983/168149743313/3251654353201478112678729755597446391 : DD7FCA2D7D0EB84C PRP: Verified PRP without proof (small exponent)
2022-11-09	nordi	F-PM1	Factor: 3251654353201478112678729755597446391 / (P-1, B1=3000000000, B2=912626498753970)
2022-10-01	nordi	NF-PM1	B1=3000000000
2020-04-17	Oliver Kruse	C-PRP	M31667/3038321983/168149743313 : DD7FCA2D7D0EB84C PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M31667/3038321983/168149743313 : C974206CD199FBE6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M31667/3038321983/168149743313 : C974206CD199FBE6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M31667/3038321983/168149743313 : C974206CD199FBE6 PRP without proof (not generated)
2016-10-08	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 168149743313