109 199 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
59378891017134191	17	55.7	old
5741707004641950516337	22	72.3	2014-08-04 11:21:48

ECM

Estimated T-Level: 32.4 ⓘ

TF below 2^103 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	FEB9F7EABDF44D73	2	0	1	3
Verified	No proof (small exponent)	2017-10-09	Chang Chia-Tche	FEB9F7EABDF44D73	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	FEB9F7EABDF44D73	2	67360	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	0B8FEE4C69C42781	2	84344	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	0B8FEE4C69C42781	2	99638	5	3
Verified	Certified Good	2022-11-08	LordJulius	0B8FEE4C69C42781	2	101469	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=902352000, B2=137281887853110
2025-12-16	ViliamF	NF-PM1	B1=100000000, B2=2097943848000
2022-11-08	John Hocking	CERT	Proof certified good
2022-11-08	LordJulius	C-PRP	M109199/59378891017134191/5741707004641950516337 : 0B8FEE4C69C42781 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: 60-61
2022-05-07	LordJulius	NF	no factor TF: 59-60
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109199/59378891017134191/5741707004641950516337 : 0B8FEE4C69C42781 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109199/59378891017134191/5741707004641950516337 : 0B8FEE4C69C42781
2017-10-13	kkmrkkblmbrbk	C-PRP	M109199/59378891017134191/5741707004641950516337 : FEB9F7EABDF44D73
2017-10-09	Chang Chia-Tche	C-PRP	M109199/known_factors : FEB9F7EABDF44D73
2017-09-21	Oliver Kruse	C-PRP	M109199/known_factors : FEB9F7EABDF44D73
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-08-04	TJAOI	F-ECM	Factor: 5741707004641950516337
2003-08-25	-anonymous-	F	Factor: 59378891017134191
2000-12-14	-anonymous-	F	Factor: 59378891017134191
2000-04-12	-anonymous-	NF	no factor TF: 1-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53

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