10 429 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
5569087	7	22.4	old
97093724052127126001428479467658603737	38	126.2	2010-02-09 12:21:01
5259895654946005149456023001736049466271	40	132.0	2019-05-05 09:56:43

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	3287 / 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	6BAAB9551014CD5A	2	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	6BAAB9551014CD5A	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	6BAAB9551014CD5A	2	6342	1	3
Verified	No proof (small exponent)	2019-05-06	artorollo	8C746E59587B10D3	3	7537	5	3
Verified	No proof (small exponent)	2019-05-07	kkmrkkblmbrbk	8C746E59587B10D3	3	191	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=156/37, B1=640000000, B2=639360000000
2025-02-18	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-29	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2022-10-22	-anonymous-	NF-PM1	B1=100000000000, B2=120378144651464700
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2019-05-07	kkmrkkblmbrbk	C-PRP	M10429/5569087/97093724052127126001428479467658603737/5259895654946005149456023001736049466271 : 8C746E59587B10D3
2019-05-06	artorollo	C-PRP	M10429/5569087/97093724052127126001428479467658603737/5259895654946005149456023001736049466271 : 8C746E59587B10D3
2019-05-05	James Hintz	F-ECM	Factor: 5259895654946005149456023001736049466271
2017-10-12	kkmrkkblmbrbk	C-PRP	M10429/5569087/97093724052127126001428479467658603737 : 6BAAB9551014CD5A
2017-10-02	kkmrkkblmbrbk	C-PRP	M10429/5569087/97093724052127126001428479467658603737 : 6BAAB9551014CD5A
2017-09-21	Oliver Kruse	C-PRP	M10429/known_factors : 6BAAB9551014CD5A
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-02-09	Matthias Wurtinger	F-ECM	Factor: 97093724052127126001428479467658603737