109 717 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
5046983	7	22.3	old
133415873	9	27.0	2008-07-26 09:17:11
2281736082114353883491359	25	80.9	2014-08-04 11:21:49
223329382216457196520245739744031	33	107.5	2025-12-10 23:31:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	727 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	B2D4D1B8F724D4B4	3	0	1	3
Factored	No proof (small exponent)	2017-10-09	Chang Chia-Tche	B2D4D1B8F724D4B4	3	0	1	3
Factored	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	B2D4D1B8F724D4B4	3	85346	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	7E93F01AE13DF985	3	47680	5	3
Factored	Not Uploaded	2022-04-15	LordJulius	7E93F01AE13DF985	3	58334	5	3
Factored	Certified Good	2022-11-11	LordJulius	7E93F01AE13DF985	3	9024	5	3
Verified	Certified Good	2025-12-10	Oliver Kruse	7E93F01AE13DF985	4	82440	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=416974000, B2=229338757688040
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2386922057520
2025-12-10	Luan Rosa Alves Da Silva	CERT	Proof certified good
2025-12-10	Oliver Kruse	C-PRP	M109717/5046983/133415873/2281736082114353883491359/223329382216457196520245739744031 : 7E93F01AE13DF985 Proof Certified Good Proof Power: 5
2025-12-10	Oliver Kruse	F-ECM	Factor: 223329382216457196520245739744031 / ECM curve 49, B1=1549194, B2=7443145710, Edwards Sigma=8897149228678139
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109717/5046983/133415873/2281736082114353883491359 : 7E93F01AE13DF985 Proof Not Uploaded Proof Power: 5
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: 61-62
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	M109717/5046983/133415873/2281736082114353883491359 : 7E93F01AE13DF985 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109717/5046983/133415873/2281736082114353883491359 : 7E93F01AE13DF985 Proof Certified Good Proof Power: 5
2017-10-13	kkmrkkblmbrbk	C-PRP	M109717/5046983/133415873/2281736082114353883491359 : B2D4D1B8F724D4B4
2017-10-09	Chang Chia-Tche	C-PRP	M109717/known_factors : B2D4D1B8F724D4B4
2017-09-21	Oliver Kruse	C-PRP	M109717/5046983/133415873/2281736082114353883491359 : B2D4D1B8F724D4B4
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-08-04	TJAOI	F-ECM	Factor: 2281736082114353883491359
2008-07-26	J Feitsma	F	Factor: 133415873

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