109 313 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
650423302175066359	18	59.2	2010-02-04 22:19:40
1063593170945641169	19	59.9	old

ECM

Estimated T-Level: 32.2 ⓘ

TF below 2^102 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	5D3F98EA9CC08C79	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	5D3F98EA9CC08C79	2	65932	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E7422DF5293C4FD6	2	24943	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	E7422DF5293C4FD6	2	19209	5	3
Verified	Certified Good	2022-11-11	LordJulius	E7422DF5293C4FD6	2	95625	5	3

History

Date	User	Type	Result
2026-02-09	Jason Lynch	NF-PM1	B1=423066000, B2=229429634083650
2025-12-16	ViliamF	NF-PM1	B1=100000000, B2=2943700209450
2022-11-11	Jim Donovan	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	Proof Certified Good Proof Power: 5
2022-05-07	LordJulius	NF	no factor TF: 62-63
2022-05-07	LordJulius	NF	no factor TF: 61-62
2022-05-07	LordJulius	NF	no factor TF: 60-61
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-05-07	LordJulius	NF	no factor TF: 1-57
2022-04-15	LordJulius	C-PRP	Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109313/650423302175066359/1063593170945641169 : E7422DF5293C4FD6
2018-10-26	J.R. Allen	NF	no factor TF: 1-57
2017-10-13	kkmrkkblmbrbk	C-PRP	M109313/650423302175066359/1063593170945641169 : 5D3F98EA9CC08C79
2017-09-21	Oliver Kruse	C-PRP	M109313/1063593170945641169/650423302175066359 : 5D3F98EA9CC08C79
2017-09-21	Oliver Kruse	C-PRP	M109313/1063593170945641169/650423302175066359 : 5D3F98EA9CC08C79
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-02-04	Rob_Dee	F-ECM	Factor: 650423302175066359
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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