10 289 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
246937	6	17.9	old
526598551692047	15	48.9	2008-08-26 19:58:30
19773825995654360068925406136004167187932633	44	143.8	2019-04-01 19:31:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1282 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	4A507D8380070493	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	4A507D8380070493	2	3084	1	3
Verified	2019-04-02	ANONYMOUS	75EF329EC6BB28F3	3	1633	5	3
Verified	2019-04-03	oodaira	75EF329EC6BB28F3	3	2601	5	3

History

Date	User	Type	Result
2022-10-22	-Anonymous-	NF-PM1	B1=100000000000, B2=121570702234581600
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2019-04-03	oodaira	C-PRP	M10289/246937/526598551692047/19773825995654360068925406136004167187932633 : 75EF329EC6BB28F3 PRP: Verified PRP without proof (small exponent)
2019-04-02	ANONYMOUS	C-PRP	M10289/246937/526598551692047/19773825995654360068925406136004167187932633 : 75EF329EC6BB28F3 PRP: Verified PRP without proof (small exponent)
2019-04-01	James Hintz	F-ECM	Factor: 19773825995654360068925406136004167187932633 / (ECM curve 2449, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10289/246937/526598551692047 : 4A507D8380070493 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10289/246937/526598551692047 : 4A507D8380070493 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10289/246937/526598551692047 : 4A507D8380070493 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F-PM1	Factor: 526598551692047