11 909 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
18673313	8	24.2	old
84517539499140259041714137647	29	96.1	2009-06-05 09:03:35
1374525603556627361796915096539539982121228289	46	149.9	2021-05-19 00:47:09

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	77DFB7C3B4337353	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	77DFB7C3B4337353	2	145	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	DDB85356796ACF40	2	6451	5	3
Verified	2021-05-19	mikr	DDB85356796ACF40	3	3160	5	3
Verified	2021-05-20	kutens	DDB85356796ACF40	3	1600	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-06	84517539499140259041714137647	100000000000	122192573512709696

History

Date	User	Type	Result
2023-04-06	-Anonymous-	F-PM1	Factor: 84517539499140259041714137647 / (P-1, B1=100000000000, B2=122192573512709700)
2021-05-20	kutens	C-PRP	M11909/18673313/84517539499140259041714137647/1374525603556627361796915096539539982121228289 : DDB85356796ACF40 PRP: Verified PRP without proof (small exponent)
2021-05-19	mikr	C-PRP	M11909/18673313/84517539499140259041714137647/1374525603556627361796915096539539982121228289 : DDB85356796ACF40 PRP: Verified PRP without proof (small exponent)
2021-05-19	James Hintz	F-ECM	Factor: 1374525603556627361796915096539539982121228289 / (ECM curve 1718, B1=3000000, B2=300000000, Sigma=5147507118656665)
2020-04-17	Oliver Kruse	C-PRP	M11909/18673313/84517539499140259041714137647 : DDB85356796ACF40 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M11909/18673313/84517539499140259041714137647 : 77DFB7C3B4337353 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11909/18673313/84517539499140259041714137647 : 77DFB7C3B4337353 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11909/18673313/84517539499140259041714137647 : 77DFB7C3B4337353 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2009-06-05	Rob_Dee	F-ECM	Factor: 84517539499140259041714137647