10 247 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
184447	6	17.5	old
246419857	9	27.9	2008-08-26 19:58:30
356320059833265563593187090639983751317703	42	138.0	2025-05-22 14:14:22

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	3324 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	7369FD518F4B71DE	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	7369FD518F4B71DE	2	1088	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	3D86E607DA8AFF36	2	3778	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	3D86E607DA8AFF36	2	6281	5	3
Verified	No proof (small exponent)	2025-05-22	nordi	3D86E607DA8AFF36	3	611	5	3

History

Date	User	Type	Result
2025-05-22	nordi	C-PRP	M10247/184447/246419857/356320059833265563593187090639983751317703 : 3D86E607DA8AFF36
2025-05-22	nordi	F-ECM	Factor: 356320059833265563593187090639983751317703 / ECM curve 168, B1=44000000, B2=1117403522235, Edwards Sigma=6115952334763548
2025-02-27	masser	NF-PP1	Start=105/17, B1=640000000, B2=639360000000
2025-02-19	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-30	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10247/184447/246419857 : 3D86E607DA8AFF36
2022-10-10	-anonymous-	NF-PM1	B1=100000000000, B2=121570702234581600
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10247/184447/246419857 : 3D86E607DA8AFF36
2017-10-12	kkmrkkblmbrbk	C-PRP	M10247/184447/246419857 : 7369FD518F4B71DE
2017-09-21	Oliver Kruse	C-PRP	M10247/184447/246419857 : 7369FD518F4B71DE
2017-09-21	Oliver Kruse	C-PRP	M10247/184447/246419857 : 7369FD518F4B71DE
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-anonymous-	F	Factor: 246419857