109 097 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
732040871	9	29.4	old
2666112487	10	31.3	2008-07-26 09:17:10
1703547036673	13	40.6	2008-07-26 09:17:10
2464873847463014258324172359	28	91.0	2016-12-05 11:38:22
4390561780521087711887858378713	31	101.8	2016-12-05 11:38:22

P-1 factors

Date	Factors	B1	B2
2016-12-05	2464873847463014258324172359	100000000	2000000000
2016-12-05	4390561780521087711887858378713	100000000	2000000000

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	751 / 1566

Estimated T-Level: 32.4 ⓘ

TF below 2^103 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	55A06A6B0D3855E0	5	0	1	3
Verified	No proof (small exponent)	2017-10-09	Chang Chia-Tche	55A06A6B0D3855E0	5	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	55A06A6B0D3855E0	5	54350	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3151FEE4600D60E6	5	6535	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	3151FEE4600D60E6	5	41657	5	3
Verified	Certified Good	2022-11-08	LordJulius	3151FEE4600D60E6	5	91237	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=906125000, B2=137332171046070
2025-12-16	ViliamF	NF-PM1	B1=100000000, B2=2097943848000
2022-11-08	Will K	CERT	Proof certified good
2022-11-08	LordJulius	C-PRP	M109097/732040871/2666112487/1703547036673/2464873847463014258324172359/4390561780521087711887858378713 : 3151FEE4600D60E6 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: 57-58
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-04-15	LordJulius	C-PRP	M109097/732040871/2666112487/1703547036673/2464873847463014258324172359/4390561780521087711887858378713 : 3151FEE4600D60E6 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109097/732040871/2666112487/1703547036673/2464873847463014258324172359/4390561780521087711887858378713 : 3151FEE4600D60E6
2018-10-26	J.R. Allen	NF	no factor TF: 41-57
2017-10-13	kkmrkkblmbrbk	C-PRP	M109097/732040871/2666112487/1703547036673/2464873847463014258324172359/4390561780521087711887858378713 : 55A06A6B0D3855E0
2017-10-09	Chang Chia-Tche	C-PRP	M109097/known_factors : 55A06A6B0D3855E0
2017-09-21	Oliver Kruse	C-PRP	M109097/known_factors : 55A06A6B0D3855E0
2017-09-21	Oliver Kruse	C-PRP	M109097/known_factors : 55A06A6B0D3855E0
2016-12-05	kkmrkkblmbrbk	F-PM1	Factor: 10822180908477075839459882164528930998148482084039308593967 / B1=100000000, B2=2000000000
2008-07-26	J Feitsma	F	Factor: 2666112487
2008-07-26	J Feitsma	F	Factor: 1703547036673

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