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

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	732 / 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
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	M109847/5389351104965957881/6991172886089197007/38396869196354143921/684262269595764747431/35132775193192608130697 : 68090687ECC38853 Proof Not Uploaded 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	M109847/5389351104965957881/6991172886089197007/38396869196354143921/684262269595764747431/35132775193192608130697 : 68090687ECC38853 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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