6 827 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
108958921	9	26.7	old
4318234316191	13	42.0	old
49216335606275697439	20	65.4	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	2543 / 16550

Estimated T-Level: 45.8 ⓘ

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	319C9909E1A28FF2	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	319C9909E1A28FF2	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	319C9909E1A28FF2	3	5829	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	52A0335C9C05D3D4	3	3842	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	52A0335C9C05D3D4	3	6119	5	3

History

Date	User	Type	Result
2025-03-23	masser	NF-PP1	Start=102/61, B1=1000000000, B2=999000000000
2025-03-14	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	M6827/108958921/4318234316191/49216335606275697439 : 52A0335C9C05D3D4
2023-08-15	-anonymous-	NF-PM1	B1=36000000000, B2=144596153139137700
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M6827/108958921/4318234316191/49216335606275697439 : 52A0335C9C05D3D4
2017-12-07	ATH	C-PRP	M6827/108958921/4318234316191/49216335606275697439 : 319C9909E1A28FF2
2017-10-02	kkmrkkblmbrbk	C-PRP	M6827/108958921/4318234316191/49216335606275697439 : 319C9909E1A28FF2
2017-09-21	Oliver Kruse	C-PRP	M6827/known_factors : 319C9909E1A28FF2