128 831 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
73433671	8	26.1	old
10300296113	11	33.3	2008-07-26 12:48:50
3643925057417	13	41.7	2008-07-26 12:48:50
10108209262345231	17	53.2	2008-08-26 20:12:17
11239012461362377	17	53.3	2012-03-26 06:03:54
171308398656915257	18	57.2	2008-08-26 20:12:17
694978887326824999	18	59.3	2008-08-26 20:12:17
37423024303993198680034297	26	85.0	2012-03-26 19:08:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1292 / 4588

Estimated T-Level: 36.4 ⓘ

TF below 2^116 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	8F2E10FC29ECA132	8	0	1	3
Verified	2017-10-09	Chang Chia-Tche	8F2E10FC29ECA132	8	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	8F2E10FC29ECA132	8	126572	1	3
Verified	2020-04-17	Oliver Kruse	833280A9783FC9D7	8	22063	5	3
Verified	2024-02-03	Wentao Huang	833280A9783FC9D7	8	41477	5	3

History

Date	User	Type	Result
2024-02-03	Naegi Makoto	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M128831/73433671/10300296113/3643925057417/10108209262345231/694978887326824999/171308398656915257/11239012461362377/37423024303993198680034297 : 833280A9783FC9D7 PRP proof power = 5 PRP: Verified Proof certified good
2022-11-24	LordJulius	NF	no factor from 2^66 to 2^67
2022-11-24	LordJulius	NF	no factor from 2^65 to 2^66
2022-11-24	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
2021-04-26	Seth_Tr	NF-PM1	B1=1000000000, B2=231000000000
2021-04-19	Seth_Tr	NF-PM1	B1=400000000, B2=80400000000
2021-03-16	Seth_Tr	NF-PM1	B1=200000000, B2=36200000000
2020-04-17	Oliver Kruse	C-PRP	M128831/73433671/10300296113/3643925057417/10108209262345231/11239012461362377/171308398656915257/694978887326824999/37423024303993198680034297 : 833280A9783FC9D7 PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M128831/73433671/10300296113/3643925057417/10108209262345231/11239012461362377/171308398656915257/694978887326824999/37423024303993198680034297 : 8F2E10FC29ECA132 PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M128831/known_factors : 8F2E10FC29ECA132 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M128831/known_factors : 8F2E10FC29ECA132 PRP without proof (not generated)
2017-03-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2012-03-26	Axon	F-ECM	Factor: 37423024303993198680034297
2012-03-26	Axon	F	Factor: 11239012461362377
2008-08-26	-Anonymous-	F-ECM	Factor: 624234966411914253547828311169
2008-08-26	-Anonymous-	F-ECM	Factor: 694978887326824999
2008-08-26	-Anonymous-	F-PM1	Factor: 10108209262345231
2008-07-26	J Feitsma	F	Factor: 3643925057417
2008-07-26	J Feitsma	F	Factor: 10300296113

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