157 429 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
184821647	9	27.5	old
1500345419545799	16	50.4	2008-08-26 20:12:36
251557613661918097	18	57.8	2008-08-26 20:12:36
578886945953360449	18	59.0	2008-08-26 20:12:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	173 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	7B649D48DC780DD8	4	0	1	3
Verified	2017-10-11	kkmrkkblmbrbk	7B649D48DC780DD8	4	40952	1	3
Verified	2020-04-17	Oliver Kruse	ABE361B751DB97E3	4	64766	5	3
Verified	2024-02-03	Wentao Huang	ABE361B751DB97E3	4	144950	5	3

History

Date	User	Type	Result
2024-02-03	curtisc	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M157429/184821647/1500345419545799/251557613661918097/578886945953360449 : ABE361B751DB97E3 PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M157429/184821647/1500345419545799/251557613661918097/578886945953360449 : ABE361B751DB97E3 PRP: Verified PRP without proof (small exponent)
2017-10-11	kkmrkkblmbrbk	C-PRP	M157429/184821647/1500345419545799/251557613661918097/578886945953360449 : 7B649D48DC780DD8 PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M157429/known_factors : 7B649D48DC780DD8 PRP without proof (not generated)
2016-12-24	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-Anonymous-	F-ECM	Factor: 578886945953360449
2008-08-26	-Anonymous-	F-ECM	Factor: 251557613661918097
2008-08-26	-Anonymous-	F-PM1	Factor: 1500345419545799