109 847 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
5389351104965957881	19	62.2	2010-03-02 21:24:03
6991172886089197007	19	62.6	2009-03-05 15:09:19
38396869196354143921	20	65.1	old
684262269595764747431	21	69.2	2014-08-04 11:21:49
35132775193192608130697	23	74.9	2011-01-05 17:48:36

ECM

Estimated T-Level: 32.3 ⓘ

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	FAC2B9D30B81489E	5	0	1	3
Verified	No proof (small exponent)	2017-10-09	Chang Chia-Tche	FAC2B9D30B81489E	5	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	FAC2B9D30B81489E	5	83486	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	68090687ECC38853	5	66429	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	68090687ECC38853	5	99208	5	3
Verified	Certified Good	2022-11-11	LordJulius	68090687ECC38853	5	96913	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=893574000, 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: 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: 57-58
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	M109847/5389351104965957881/6991172886089197007/38396869196354143921/684262269595764747431/35132775193192608130697 : 68090687ECC38853
2018-10-26	J.R. Allen	NF	no factor TF: 1-57
2017-10-13	kkmrkkblmbrbk	C-PRP	M109847/5389351104965957881/6991172886089197007/38396869196354143921/684262269595764747431/35132775193192608130697 : FAC2B9D30B81489E
2017-10-09	Chang Chia-Tche	C-PRP	M109847/known_factors : FAC2B9D30B81489E
2017-09-21	Oliver Kruse	C-PRP	M109847/known_factors : FAC2B9D30B81489E
2017-09-21	Oliver Kruse	C-PRP	M109847/known_factors : FAC2B9D30B81489E
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-08-04	TJAOI	F-ECM	Factor: 684262269595764747431
2011-01-05	Rob_Dee	F-ECM	Factor: 35132775193192608130697
2010-03-02	Rob_Dee	F-ECM	Factor: 5389351104965957881
2009-03-05	-anonymous-	F-ECM	Factor: 6991172886089197007

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