6 551 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
13103	5	13.7	old
4238492663239	13	41.9	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	2847 / 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	E8033396EC0F3D7A	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	E8033396EC0F3D7A	2	192	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B997E5008922B657	2	5466	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	B997E5008922B657	1	2764	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	B997E5008922B657	2	5063	5	3

History

Date	User	Type	Result
2025-03-21	masser	NF-PP1	Start=166/43, B1=1000000000, B2=999000000000
2025-03-12	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-04	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6551/13103/4238492663239 : B997E5008922B657
2023-08-08	-anonymous-	NF-PM1	B1=37000000000, B2=148602986684101950
2022-05-12	Jorge Coveiro	C-PRP	M6551/13103 : B997E5008922B657
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1006397938886340
2020-04-17	Oliver Kruse	C-PRP	M6551/13103/4238492663239 : B997E5008922B657
2017-10-12	kkmrkkblmbrbk	C-PRP	M6551/13103/4238492663239 : E8033396EC0F3D7A
2017-09-21	Oliver Kruse	C-PRP	M6551/13103/4238492663239 : E8033396EC0F3D7A
2017-09-21	Oliver Kruse	C-PRP	M6551/13103/4238492663239 : E8033396EC0F3D7A