100 517 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
999459033164191	15	49.8	old
3761696432449035921728660089	28	91.6	2017-01-21 19:41:58
117245631774983322771883893206263	33	106.5	2017-01-21 18:00:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	826 / 1566

Estimated T-Level: 32.6 ⓘ

TF below 2^103 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	31BFF45DAD69AB45	3	0	1	3
Verified	2017-10-09	Chang Chia-Tche	31BFF45DAD69AB45	3	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	31BFF45DAD69AB45	3	12041	1	3
Verified	2020-04-17	Oliver Kruse	EA5300A8D05B8185	3	95743	5	3
Verified	2022-04-15	LordJulius	EA5300A8D05B8185	3	29522	5	3

History

Date	User	Type	Result
2022-10-22	LordJulius	NF	no factor from 2^66 to 2^67
2022-10-22	LordJulius	NF	no factor from 2^65 to 2^66
2022-10-22	LordJulius	NF	no factor from 2^64 to 2^65
2022-10-22	LordJulius	NF	no factor from 2^63 to 2^64
2022-10-22	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-15	LordJulius	C-PRP	M100517/999459033164191/3761696432449035921728660089/117245631774983322771883893206263 : EA5300A8D05B8185 PRP: Verified PRP without proof (small exponent)
2022-04-13	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-13	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-13	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-13	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-13	LordJulius	NF	no factor from 2^57 to 2^58
2021-12-17	Seth_Tr	NF-PM1	B1=1000000000, B2=6551302697940
2020-04-17	Oliver Kruse	C-PRP	M100517/999459033164191/3761696432449035921728660089/117245631774983322771883893206263 : EA5300A8D05B8185 PRP: Verified PRP without proof (small exponent)
2018-11-01	J.R. Allen	NF	no factor from 2^59 to 2^60
2018-11-01	J.R. Allen	NF	no factor from 2^58 to 2^59
2018-11-01	J.R. Allen	NF	no factor from 2^57 to 2^58
2018-10-25	J.R. Allen	NF	no factor from 2^52 to 2^57
2017-10-13	kkmrkkblmbrbk	C-PRP	M100517/999459033164191/3761696432449035921728660089/117245631774983322771883893206263 : 31BFF45DAD69AB45 PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M100517/known_factors : 31BFF45DAD69AB45 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100517/999459033164191/117245631774983322771883893206263/3761696432449035921728660089 : 31BFF45DAD69AB45 PRP without proof (not generated)
2017-01-21	kkmrkkblmbrbk	F-ECM	Factor: 3761696432449035921728660089 / (ECM curve 59, B1=250000, B2=25000000)
2017-01-21	kkmrkkblmbrbk	F-ECM	Factor: 117245631774983322771883893206263 / (ECM curve 204, B1=250000, B2=25000000)
2016-10-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12

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