109 721 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
91487486114612615944879	23	76.3	2008-03-03 00:00:00

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	730 / 1566

Estimated T-Level: 32.3 ⓘ

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

Status	User	Residue	Shift	Software
Factored	Unknown	1A70	0	Unknown,(aka U)
Factored	Mike Gach	DEB23B0912CA9A70	0	Windows,Prime95,v11,(aka WC)
Factored	Brian J. Beesley	DEB23B0912CA9A70	0	Mac,John Sweeney,vLL1.0b1,(aka J4)
Factored	Eivind Triel	DEB23B0912CA9A70	16855	Windows,Prime95,v24 final,(aka Wc1)

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	3F7898A30B102378	1	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	3F7898A30B102378	1	52595	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	44823BF2835F63C1	1	61971	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	44823BF2835F63C1	1	17134	5	3
Verified	Certified Good	2022-11-11	LordJulius	44823BF2835F63C1	1	23960	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=886899000, 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	Proof Certified Good Proof Power: 5
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: 61-62
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-05-07	LordJulius	NF	no factor TF: 59-60
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	Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109721/91487486114612615944879 : 44823BF2835F63C1
2018-10-26	J.R. Allen	NF	no factor TF: 1-57
2017-10-13	kkmrkkblmbrbk	C-PRP	M109721/91487486114612615944879 : 3F7898A30B102378
2017-09-21	Oliver Kruse	C-PRP	M109721/91487486114612615944879 : 3F7898A30B102378
2017-09-21	Oliver Kruse	C-PRP	M109721/91487486114612615944879 : 3F7898A30B102378
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-03-03	Michael Kenn	F-PM1	Factor: 91487486114612615944879
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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