209 563 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

209563

Factored

Factor	Digits	Bits	Date
5029513	7	22.3	old
47361239	8	25.5	2008-07-21 09:13:57
10038905953	11	33.2	2008-07-21 09:13:57
142087067009	12	37.0	2008-07-21 09:13:57
2554150910119	13	41.2	2008-07-21 09:13:57
28006800688913	14	44.7	2008-07-21 09:13:57
24051921393932329	17	54.4	2012-03-07 17:08:47
6804041626923746758825803439	28	92.5	2012-03-18 09:25:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	567 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 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	2017-09-22	Oliver Kruse	C2D3BBD27400957E	8	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	C2D3BBD27400957E	8	12021	1	3
Verified	2020-04-17	Oliver Kruse	8FB0FE2BF8FF2F9B	8	53894	5	3
Verified	2023-08-03	USAFSS	8FB0FE2BF8FF2F9B	8	146594	5	3

History

Date	User	Type	Result
2023-08-03	curtisc	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M209563/5029513/47361239/10038905953/142087067009/2554150910119/28006800688913/24051921393932329/6804041626923746758825803439 : 8FB0FE2BF8FF2F9B PRP proof power = 5 PRP: Verified Proof certified good
2022-11-20	LordJulius	NF	no factor from 2^66 to 2^67
2022-11-20	LordJulius	NF	no factor from 2^65 to 2^66
2022-11-20	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-25	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-25	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-25	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-25	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-25	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-25	LordJulius	NF	no factor from 2^58 to 2^59
2021-04-29	Seth_Tr	NF-PM1	B1=1000000000, B2=231000000000
2021-03-17	Seth_Tr	NF-PM1	B1=200000000, B2=36200000000
2020-04-17	Oliver Kruse	C-PRP	M209563/5029513/47361239/10038905953/142087067009/2554150910119/28006800688913/24051921393932329/6804041626923746758825803439 : 8FB0FE2BF8FF2F9B PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M209563/5029513/10038905953/142087067009/2554150910119/28006800688913/47361239/24051921393932329/6804041626923746758825803439 : C2D3BBD27400957E PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M209563/known_factors : C2D3BBD27400957E PRP without proof (not generated)
2012-03-18	Axon	F-ECM	Factor: 6804041626923746758825803439
2012-03-07	Axon	F	Factor: 24051921393932329
2008-07-21	J Feitsma	F	Factor: 47361239
2008-07-21	J Feitsma	F	Factor: 28006800688913
2008-07-21	J Feitsma	F	Factor: 2554150910119
2008-07-21	J Feitsma	F	Factor: 142087067009
2008-07-21	J Feitsma	F	Factor: 10038905953

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