6 317 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
694871	6	19.4	old
4548241	7	22.1	old
51551048793640050461567	23	75.4	old
660100700088650960499032713	27	89.1	old
954646751350757349360938183160164393	36	119.5	old
4012681826290985504902063790032196593	37	121.6	2016-11-21 02:19:38

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	3152 / 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	171886D57D480067	6	0	1	3
Verified	No proof (small exponent)	2017-09-25	George Woltman	171886D57D480067	6	3688	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	171886D57D480067	6	0	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	BB13A5591A7DF0DD	6	5482	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	BB13A5591A7DF0DD	6	6033	5	3

History

Date	User	Type	Result
2025-03-19	masser	NF-PP1	Start=176/53, B1=1000000000, B2=999000000000
2025-03-10	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-02	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6317/694871/4548241/51551048793640050461567/660100700088650960499032713/954646751350757349360938183160164393/4012681826290985504902063790032196593 : BB13A5591A7DF0DD
2023-08-03	-anonymous-	NF-PM1	B1=39000000000, B2=163105468633407300
2021-08-01	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2020-04-17	Oliver Kruse	C-PRP	M6317/694871/4548241/51551048793640050461567/660100700088650960499032713/954646751350757349360938183160164393/4012681826290985504902063790032196593 : BB13A5591A7DF0DD
2017-10-02	kkmrkkblmbrbk	C-PRP	M6317/694871/4548241/51551048793640050461567/660100700088650960499032713/954646751350757349360938183160164393/4012681826290985504902063790032196593 : 171886D57D480067
2017-09-25	George Woltman	C-PRP	M6317/known_factors : 171886D57D480067
2017-09-20	kkmrkkblmbrbk	C-PRP	M6317/694871/4548241/51551048793640050461567/660100700088650960499032713/954646751350757349360938183160164393/4012681826290985504902063790032196593 : 171886D57D480067
2016-11-21	kkmrkkblmbrbk	F-ECM	Factor: 4012681826290985504902063790032196593