6 217 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
7910022330311	13	42.8	old
2941232948099472833	19	61.4	old
485161782189505829621212327	27	88.6	old
751132323206994373861125423327112906282759	42	139.1	2016-11-22 14:25:11

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	3399 / 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
Verified	No proof (small exponent)	2017-09-20	kkmrkkblmbrbk	7563407B95B0F4D4	4	0	1	3
Verified	No proof (small exponent)	2017-09-25	George Woltman	7563407B95B0F4D4	4	5626	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	7563407B95B0F4D4	4	0	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	109C647D2716A7AB	4	2375	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	109C647D2716A7AB	4	5994	5	3

History

Date	User	Type	Result
2025-03-18	masser	NF-PP1	Start=137/61, B1=1000000000, B2=999000000000
2025-03-09	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-01	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6217/7910022330311/2941232948099472833/485161782189505829621212327/751132323206994373861125423327112906282759 : 109C647D2716A7AB
2023-07-31	-anonymous-	NF-PM1	B1=40000000000, B2=169615672618692300
2021-08-01	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2020-04-17	Oliver Kruse	C-PRP	M6217/7910022330311/2941232948099472833/485161782189505829621212327/751132323206994373861125423327112906282759 : 109C647D2716A7AB
2017-10-02	kkmrkkblmbrbk	C-PRP	M6217/7910022330311/2941232948099472833/485161782189505829621212327/751132323206994373861125423327112906282759 : 7563407B95B0F4D4
2017-09-25	George Woltman	C-PRP	M6217/known_factors : 7563407B95B0F4D4
2017-09-20	kkmrkkblmbrbk	C-PRP	M6217/7910022330311/2941232948099472833/485161782189505829621212327/751132323206994373861125423327112906282759 : 7563407B95B0F4D4
2016-11-22	kkmrkkblmbrbk	F-ECM	Factor: 751132323206994373861125423327112906282759