8 713 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 7 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1603193	7	20.6	old
12849595133066039	17	53.5	old
9104852758013509722882119	25	82.9	old
33797070866174595750370466663	29	94.8	old
1543684774837355757550295246399	31	100.3	old
4078121101815634050078860255530312679	37	121.6	2017-09-12 11:09:34
5684009322199601654264516615237621458763537950183	49	162.0	2024-11-20 19:34:41

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	16550 / 16550
55	110000000	16338 / 40830

Estimated T-Level: 52.0 ⓘ

TF below 2^168 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	AA9369A75D480FA6	6	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	AA9369A75D480FA6	6	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	AA9369A75D480FA6	6	3831	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	C52860B351B94DE3	6	6702	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	C52860B351B94DE3	6	5938	5	3
Verified	No proof (small exponent)	2024-11-20	nordi	C52860B351B94DE3	7	1814	5	3

History

Date	User	Type	Result
2025-05-02	masser	NF-PP1	Start=194/13, B1=1000000000, B2=999000000000
2024-11-20	nordi	C-PRP	M8713/1603193/12849595133066039/9104852758013509722882119/33797070866174595750370466663/1543684774837355757550295246399/4078121101815634050078860255530312679/5684009322199601654264516615237621458763537950183 : C52860B351B94DE3
2024-11-20	nordi	F-ECM	Factor: 5684009322199601654264516615237621458763537950183 / ECM curve 395, B1=44000000, B2=2483119363725, Edwards Sigma=8090781711434119
2024-07-01	kkmrkkblmbrbk	C-PRP	M8713/12849595133066039/1543684774837355757550295246399/1603193/33797070866174595750370466663/4078121101815634050078860255530312679/9104852758013509722882119 : C52860B351B94DE3
2023-08-09	JacobZ	NF-PM1	B1=67000000000, B2=265422648792401100
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M8713/1603193/12849595133066039/9104852758013509722882119/33797070866174595750370466663/1543684774837355757550295246399/4078121101815634050078860255530312679 : C52860B351B94DE3
2017-12-07	ATH	C-PRP	M8713/1603193/12849595133066039/9104852758013509722882119/33797070866174595750370466663/1543684774837355757550295246399/4078121101815634050078860255530312679 : AA9369A75D480FA6
2017-10-02	kkmrkkblmbrbk	C-PRP	M8713/1603193/12849595133066039/9104852758013509722882119/33797070866174595750370466663/1543684774837355757550295246399/4078121101815634050078860255530312679 : AA9369A75D480FA6
2017-09-21	Oliver Kruse	C-PRP	M8713/known_factors : AA9369A75D480FA6
2017-09-12	Yaroslav Berezhko	F-ECM	Factor: 4078121101815634050078860255530312679