8 429 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
67433	5	16.0	old
455167	6	18.8	old
927191	6	19.8	old
20715689653017761	17	54.2	old

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	6889 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 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	47E9224853783E29	4	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	47E9224853783E29	4	6654	1	3
Verified	2020-04-17	Oliver Kruse	A58B3A7E521A6695	4	7058	5	3
Verified	2024-07-01	kkmrkkblmbrbk	A58B3A7E521A6695	4	235	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8429/20715689653017761/455167/67433/927191 : A58B3A7E521A6695 PRP: Verified PRP without proof (small exponent)
2023-08-24	JacobZ	NF-PM1	B1=70000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8429/67433/455167/927191/20715689653017761 : A58B3A7E521A6695 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8429/67433/455167/927191/20715689653017761 : 47E9224853783E29 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8429/67433/455167/927191/20715689653017761 : 47E9224853783E29 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8429/67433/455167/927191/20715689653017761 : 47E9224853783E29 PRP without proof (not generated)