9 859 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1104209	7	20.1	old
1656313	7	20.7	old

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	6770 / 16550

Estimated T-Level: 47.0 ⓘ

TF below 2^151 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	2F25B8340A7DB49D	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	2F25B8340A7DB49D	2	8856	1	3
Verified	2020-04-17	Oliver Kruse	FF469A3D10C1B21E	2	9184	5	3
Verified	2024-07-01	kkmrkkblmbrbk	FF469A3D10C1B21E	2	2978	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9859/1104209/1656313 : FF469A3D10C1B21E PRP: Verified PRP without proof (small exponent)
2022-12-17	Kevin_9611	NF-PM1	B1=50000000000, B2=500197298270670
2022-12-17	Kevin_9611	NF-PM1	B1=45000000000, B2=825922867770
2022-12-17	Kevin_9611	NF-PM1	B1=40000000000, B2=400541131260270
2022-12-17	Kevin_9611	NF-PM1	B1=35000000000, B2=636441255450
2022-12-17	Kevin_9611	NF-PM1	B1=30000000000, B2=300246143176980
2022-12-17	Kevin_9611	NF-PM1	B1=25000000000, B2=518293926150
2022-12-17	Kevin_9611	NF-PM1	B1=20000000000, B2=200589976166580
2022-12-16	Kevin_9611	NF-PM1	B1=17500000000, B2=518293926150
2022-12-16	Kevin_9611	NF-PM1	B1=15000000000, B2=150123071588490
2022-12-15	Kevin_9611	NF-PM1	B1=12500000000, B2=125209029835890
2022-12-15	Kevin_9611	NF-PM1	B1=10000000000, B2=100294988083290
2022-12-14	Kevin_9611	NF-PM1	B1=9000000000, B2=90073841727870
2022-12-11	Kevin_9611	NF-PM1	B1=8000000000, B2=80491517976870
2022-12-11	Kevin_9611	NF-PM1	B1=7000000000, B2=70270373152980
2022-12-11	Kevin_9611	NF-PM1	B1=6600000000
2022-12-11	Kevin_9611	NF-PM1	B1=6400000000
2022-12-11	Kevin_9611	NF-PM1	B1=6200000000
2022-12-11	Kevin_9611	NF-PM1	B1=6000000000, B2=60049228329090
2022-12-11	Kevin_9611	NF-PM1	B1=5800000000
2022-12-11	Kevin_9611	NF-PM1	B1=5600000000
2022-12-11	Kevin_9611	NF-PM1	B1=5400000000
2022-12-11	Kevin_9611	NF-PM1	B1=5200000000
2022-12-11	Kevin_9611	NF-PM1	B1=5000000000, B2=50466904578090
2022-12-11	Kevin_9611	NF-PM1	B1=4800000000
2022-12-11	Kevin_9611	NF-PM1	B1=4600000000
2022-12-11	Kevin_9611	NF-PM1	B1=4400000000
2022-12-11	Kevin_9611	NF-PM1	B1=4200000000
2022-12-11	Kevin_9611	NF-PM1	B1=4000000000, B2=40245758222670
2022-12-11	Kevin_9611	NF-PM1	B1=3800000000
2022-12-11	Kevin_9611	NF-PM1	B1=3600000000
2022-12-11	Kevin_9611	NF-PM1	B1=3400000000
2022-12-11	Kevin_9611	NF-PM1	B1=3200000000
2022-12-11	Kevin_9611	NF-PM1	B1=3000000000, B2=30024613398780
2022-12-11	Kevin_9611	NF-PM1	B1=2800000000
2022-12-11	Kevin_9611	NF-PM1	B1=2600000000
2022-12-11	Kevin_9611	NF-PM1	B1=2400000000
2022-12-11	Kevin_9611	NF-PM1	B1=2200000000
2022-12-11	Kevin_9611	NF-PM1	B1=2000000000
2022-12-11	Kevin_9611	NF-PM1	B1=1800000000
2022-12-11	Kevin_9611	NF-PM1	B1=1600000000
2022-12-11	Kevin_9611	NF-PM1	B1=1400000000
2022-12-11	Kevin_9611	NF-PM1	B1=1200000000
2022-11-25	Kevin_9611	NF-PM1	B1=1000000000, B2=100294988083290
2022-02-05	Joss	NF-PM1	B1=1000000, B2=6010952007060
2020-04-17	Oliver Kruse	C-PRP	M9859/1104209/1656313 : FF469A3D10C1B21E PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M9859/1104209/1656313 : 2F25B8340A7DB49D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9859/1104209/1656313 : 2F25B8340A7DB49D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9859/1104209/1656313 : 2F25B8340A7DB49D PRP without proof (not generated)

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