9 829 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
707689	6	19.4	old
14075129	8	23.7	old
1530552851057	13	40.5	old
681028135163897	15	49.3	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	6718 / 16550

Estimated T-Level: 47.0 ⓘ

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	760E6CAB5D2EFFB6	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	760E6CAB5D2EFFB6	4	0	1	3
Verified	2017-12-07	ATH	760E6CAB5D2EFFB6	4	1838	1	3
Verified	2020-04-17	Oliver Kruse	6BDA7F56812E86A5	4	3800	5	3
Verified	2024-07-01	kkmrkkblmbrbk	6BDA7F56812E86A5	4	6854	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9829/14075129/1530552851057/681028135163897/707689 : 6BDA7F56812E86A5 PRP: Verified PRP without proof (small exponent)
2023-06-14	JacobZ	NF-PM1	B1=59000000000, B2=250256095608669150
2022-02-05	Joss	NF-PM1	B1=1000000, B2=6010952007060
2020-04-17	Oliver Kruse	C-PRP	M9829/707689/14075129/1530552851057/681028135163897 : 6BDA7F56812E86A5 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9829/707689/14075129/1530552851057/681028135163897 : 760E6CAB5D2EFFB6 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9829/707689/14075129/1530552851057/681028135163897 : 760E6CAB5D2EFFB6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9829/known_factors : 760E6CAB5D2EFFB6 PRP without proof (not generated)