109 829 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
88160481495061025927	20	66.3	2008-01-18 03:33:47

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	718 / 1566

Estimated T-Level: 32.3 ⓘ

TF below 2^102 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	AB5E002B4D3FB2E3	1	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	AB5E002B4D3FB2E3	1	70292	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6B1CB8BE16BB17DB	1	103216	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	6B1CB8BE16BB17DB	1	30710	5	3
Verified	Certified Good	2022-11-11	LordJulius	6B1CB8BE16BB17DB	1	27503	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=894224000, B2=137332171046070
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2386922057520
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109829/88160481495061025927 : 6B1CB8BE16BB17DB Proof Not Uploaded Proof Power: 5
2022-05-07	LordJulius	NF	no factor TF: 61-62
2022-05-07	LordJulius	NF	no factor TF: 62-63
2022-05-07	LordJulius	NF	no factor TF: 59-60
2022-05-07	LordJulius	NF	no factor TF: 60-61
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-05-07	LordJulius	NF	no factor TF: 1-57
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109829/88160481495061025927 : 6B1CB8BE16BB17DB Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109829/88160481495061025927 : 6B1CB8BE16BB17DB
2018-10-26	J.R. Allen	NF	no factor TF: 1-57
2017-10-13	kkmrkkblmbrbk	C-PRP	M109829/88160481495061025927 : AB5E002B4D3FB2E3
2017-09-21	Oliver Kruse	C-PRP	M109829/88160481495061025927 : AB5E002B4D3FB2E3
2017-09-21	Oliver Kruse	C-PRP	M109829/88160481495061025927 : AB5E002B4D3FB2E3
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-01-18	Steve Scott	F-ECM	Factor: 88160481495061025927
2006-02-01	Joss	NF-PM1	B1=2000000
2003-09-29	-anonymous-	NF-PM1	B1=262144, B2=26214400, E=12
2003-02-02	-anonymous-	NF-PM1	B1=131072, B2=13107200, E=30
2002-07-20	-anonymous-	NF-PM1	B1=65536, B2=6553600, E=12
2002-06-02	-anonymous-	NF-PM1	B1=32768, B2=3276800
2002-05-05	-anonymous-	NF	no factor TF: 1-57
2001-01-08	-anonymous-	NF-PM1	B1=1000000, B2=25000000
2000-12-14	-anonymous-	NF	no factor TF: 1-56
2000-04-12	-anonymous-	NF	no factor TF: 1-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53

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