29 167 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
33415406887	11	35.0	old
251324898092091998012903	24	77.7	2009-10-14 15:38:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	657 / 4588

Estimated T-Level: 35.7 ⓘ

TF below 2^114 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	CC1AD09ABE7858EA	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	CC1AD09ABE7858EA	2	21533	1	3
Unverified	2020-04-17	Oliver Kruse	4C3854DC8F18B0__	2	25416	5	3

History

Date	User	Type	Result
2023-02-10	nordi	NF-PM1	B1=3000000000, B2=925584566816910
2022-12-29	nordi	NF-PM1	B1=3000000000
2021-05-09	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M29167/33415406887/251324898092091998012903 : 4C3854DC8F18B0__ PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M29167/33415406887/251324898092091998012903 : CC1AD09ABE7858EA PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M29167/33415406887/251324898092091998012903 : CC1AD09ABE7858EA PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M29167/33415406887/251324898092091998012903 : CC1AD09ABE7858EA PRP without proof (not generated)
2017-01-03	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2009-10-14	GrunwalderGIMP	F-ECM	Factor: 251324898092091998012903