6 829 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
8286786631	10	32.9	old
83203947829306639	17	56.2	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	2924 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	DAAAD9C38C14F4D7	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	DAAAD9C38C14F4D7	2	5082	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AE64DC526DDAB57C	2	4008	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	AE64DC526DDAB57C	2	5667	5	3

History

Date	User	Type	Result
2026-02-03	Jason Lynch	NF-PM1	B1=35000000000, B2=33774347419042230
2025-03-23	masser	NF-PP1	Start=117/61, B1=1000000000, B2=999000000000
2025-03-15	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-06	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6829/8286786631/83203947829306639 : AE64DC526DDAB57C
2023-08-16	-anonymous-	NF-PM1	B1=35000000000, B2=444856804872480
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M6829/8286786631/83203947829306639 : AE64DC526DDAB57C
2017-10-12	kkmrkkblmbrbk	C-PRP	M6829/8286786631/83203947829306639 : DAAAD9C38C14F4D7
2017-09-21	Oliver Kruse	C-PRP	M6829/8286786631/83203947829306639 : DAAAD9C38C14F4D7
2017-09-21	Oliver Kruse	C-PRP	M6829/8286786631/83203947829306639 : DAAAD9C38C14F4D7