5 049 959 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 9 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
10099919	8	23.3	old
2787577369	10	31.4	2008-09-08 01:25:29
2999675647	10	31.5	2008-09-08 01:25:29
8251633007	10	32.9	2008-09-08 01:25:29
26754682783	11	34.6	2008-09-08 01:25:29
234408996863	12	37.8	2008-09-08 01:25:29
2265250372309049	16	51.0	2014-06-16 12:27:40
6406466149584223	16	52.5	2014-07-01 19:13:01
4797643772267866457332663	25	82.0	2021-10-15 23:57:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	320 / 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 (Factored)	2017-11-07	ATH	F20E2FD680144050	8	4280960	5	3
Verified (Factored)	2018-01-19	kkmrkkblmbrbk	F20E2FD680144050	8	4149428	5	3
Verified	2021-10-16	Seth_Tr	F20E2FD680144050	9	4545600	5	3
Verified	2024-12-29	kkmrkkblmbrbk	F20E2FD680144050	9	1275754	5	3

P-1 factors

Date	Factor	B1	B2
2021-10-15	4797643772267866457332663	200000000	38200000000

History

Date	User	Type	Result
2024-12-29	Onychomys	CERT	PRP Certification Proof certified good
2024-12-29	kkmrkkblmbrbk	C-PRP	M5049959/10099919/2787577369/2999675647/8251633007/26754682783/234408996863/2265250372309049/6406466149584223/4797643772267866457332663 : F20E2FD680144050 PRP proof power = 7 PRP: Verified Proof certified good
2022-11-17	LordJulius	NF	no factor from 2^65 to 2^66
2022-11-17	LordJulius	NF	no factor from 2^64 to 2^65
2022-11-17	LordJulius	NF	no factor from 2^63 to 2^64
2022-01-19	Seth_Tr	NF-PM1	B1=600000000, B2=360394395900
2022-01-17	Seth_Tr	NF-PM1	B1=600000000, B2=360076325070
2021-10-16	Seth_Tr	C-PRP	M5049959/10099919/2787577369/2999675647/8251633007/26754682783/234408996863/2265250372309049/6406466149584223/4797643772267866457332663 : F20E2FD680144050 PRP proof power = 7 PRP: Verified PRP proof never uploaded
2021-10-15	Seth_Tr	F-PM1	Factor: 4797643772267866457332663 / (P-1, B1=200000000, B2=38200000000)
2021-08-06	Seth_Tr	NF	no factor from 2^67 to 2^68
2021-08-06	Seth_Tr	NF	no factor from 2^66 to 2^67
2019-12-31	Seth_Tr	NF	no factor from 2^70 to 2^71
2019-12-15	Seth_Tr	NF	no factor from 2^69 to 2^70
2019-12-10	Seth_Tr	NF	no factor from 2^68 to 2^69
2019-08-27	alpertron	NF-PM1	B1=30000000, B2=1000000000, E=12
2018-01-19	kkmrkkblmbrbk	C-PRP	M5049959/10099919/2787577369/2999675647/8251633007/26754682783/234408996863/2265250372309049/6406466149584223 : F20E2FD680144050 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-07	ATH	C-PRP	M5049959/10099919/2787577369/2999675647/8251633007/26754682783/234408996863/2265250372309049/6406466149584223 : F20E2FD680144050 PRP: Verified (Factored) PRP without proof (not generated)
2014-07-01	Axon	F	Factor: 6406466149584223
2014-06-16	TJAOI	F	Factor: 2265250372309049
2008-09-08	Will Edgington	F	Factor: 234408996863
2008-09-08	Will Edgington	F	Factor: 26754682783
2008-09-08	Will Edgington	F	Factor: 8251633007
2008-09-08	Will Edgington	F	Factor: 2999675647
2008-09-08	Will Edgington	F	Factor: 2787577369

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