9 001 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
1512169	7	20.5	old
1914744637769	13	40.8	old
6659525086963408257770983	25	82.5	old
26853085360471857637409520958360644587565839	44	144.3	2023-01-26 01:48:39

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	6821 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 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	386FE0677299EAD4	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	386FE0677299EAD4	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	386FE0677299EAD4	3	8247	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	F38616AC2FEF761E	3	3466	5	3
Verified	No proof (small exponent)	2023-01-26	Denial140	F38616AC2FEF761E	4	6154	5	3

History

Date	User	Type	Result
2025-04-23	masser	NF-PP1	Start=145/53, B1=1000000000, B2=999000000000
2023-07-24	JacobZ	NF-PM1	B1=65000000000, B2=251099672798124150
2023-01-26	Denial140	C-PRP	M9001/1512169/1914744637769/6659525086963408257770983/26853085360471857637409520958360644587565839 : F38616AC2FEF761E
2023-01-26	Denial140	F-ECM	Factor: 26853085360471857637409520958360644587565839 / ECM curve 52, B1=11000000, B2=99324315090, Montgomery Sigma=3946644149112759
2023-01-22	Denial140	NF-PM1	B1=1000000000, B2=248202816391530
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9001/1512169/1914744637769/6659525086963408257770983 : F38616AC2FEF761E
2017-12-07	ATH	C-PRP	M9001/1512169/1914744637769/6659525086963408257770983 : 386FE0677299EAD4
2017-10-02	kkmrkkblmbrbk	C-PRP	M9001/1512169/1914744637769/6659525086963408257770983 : 386FE0677299EAD4
2017-09-21	Oliver Kruse	C-PRP	M9001/known_factors : 386FE0677299EAD4
2006-11-28	-anonymous-	F	Factor: 2895417484150510961