108 131 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
216263	6	17.7	old
6055337	7	22.5	2008-07-26 09:17:07
23356297	8	24.5	2008-07-26 09:17:07
199650483257	12	37.5	2008-07-26 09:17:07
4905848315577602037607	22	72.1	2010-05-02 15:48:31
720924089641701872925679	24	79.3	2011-01-05 17:42:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	306 / 1566

Estimated T-Level: 31.0 ⓘ

TF below 2^98 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	0B9A0063FC4F0D08	6	0	1	3
Verified	2017-09-22	Oliver Kruse	0B9A0063FC4F0D08	6	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	0B9A0063FC4F0D08	6	72184	1	3
Verified	2020-04-17	Oliver Kruse	ED23A08A620C7572	6	5340	5	3
Verified	2022-04-15	LordJulius	ED23A08A620C7572	6	43449	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	ED23A08A620C7572	1	24131	5	3
Verified	2022-11-03	LordJulius	ED23A08A620C7572	6	10043	5	3

History

Date	User	Type	Result
2022-11-03	citizenscience.ru	CERT	PRP Certification Proof certified good
2022-11-03	LordJulius	C-PRP	M108131/216263/6055337/23356297/199650483257/4905848315577602037607/720924089641701872925679 : ED23A08A620C7572 PRP proof power = 5 PRP: Verified Proof certified good
2022-05-12	Jorge Coveiro	C-PRP	M108131/216263 : ED23A08A620C7572 PRP proof power = 5 PRP: Verified (Factored) PRP proof never uploaded
2022-05-06	LordJulius	NF	no factor from 2^62 to 2^63
2022-05-06	LordJulius	NF	no factor from 2^61 to 2^62
2022-05-06	LordJulius	NF	no factor from 2^60 to 2^61
2022-05-06	LordJulius	NF	no factor from 2^59 to 2^60
2022-05-06	LordJulius	NF	no factor from 2^58 to 2^59
2022-05-06	LordJulius	NF	no factor from 2^57 to 2^58
2022-04-15	LordJulius	C-PRP	M108131/216263/6055337/23356297/199650483257/4905848315577602037607/720924089641701872925679 : ED23A08A620C7572 PRP proof power = 5 PRP: Verified PRP proof never uploaded
2021-07-01	ATH	NF-PP1	Start=2/7, B1=50000000, B2=5000000000
2021-04-16	Seth_Tr	NF-PM1	B1=400000000, B2=80400000000
2020-04-17	Oliver Kruse	C-PRP	M108131/216263/6055337/23356297/199650483257/4905848315577602037607/720924089641701872925679 : ED23A08A620C7572 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M108131/216263/6055337/23356297/199650483257/4905848315577602037607/720924089641701872925679 : 0B9A0063FC4F0D08 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M108131/216263/199650483257/23356297/6055337/4905848315577602037607/720924089641701872925679 : 0B9A0063FC4F0D08 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M108131/216263/199650483257/23356297/6055337/4905848315577602037607/720924089641701872925679 : 0B9A0063FC4F0D08 PRP without proof (not generated)
2016-12-05	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2011-01-05	Rob_Dee	F-ECM	Factor: 720924089641701872925679
2010-05-02	Rob_Dee	F-ECM	Factor: 4905848315577602037607
2008-07-26	J Feitsma	F	Factor: 6055337
2008-07-26	J Feitsma	F	Factor: 23356297
2008-07-26	J Feitsma	F	Factor: 199650483257

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