109 063 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
993127679	9	29.9	old
201686497759	12	37.6	2008-07-26 09:17:10
4881958014437426196602343823	28	92.0	2018-10-31 20:58:19

ECM

Estimated T-Level: 31.9 ⓘ

TF below 2^101 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	DD153B8BF242C12F	2	0	1	3
Factored	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	DD153B8BF242C12F	2	67925	1	3
Verified	No proof (small exponent)	2018-10-31	rucio	D89985D07FB45E85	3	45522	5	3
Verified	No proof (small exponent)	2018-10-31	ATH	D89985D07FB45E85	3	81335	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	D89985D07FB45E85	3	95896	5	3
Verified	Certified Good	2022-11-08	LordJulius	D89985D07FB45E85	3	31729	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=421656000, B2=229408737888330
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	M109063/993127679/201686497759/4881958014437426196602343823 : D89985D07FB45E85 Proof Not Uploaded 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: 59-60
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	M109063/993127679/201686497759/4881958014437426196602343823 : D89985D07FB45E85 Proof Not Uploaded Proof Power: 5
2018-10-31	ATH	C-PRP	M109063/993127679/201686497759/4881958014437426196602343823 : D89985D07FB45E85
2018-10-31	rucio	C-PRP	M109063/993127679/201686497759/4881958014437426196602343823 : D89985D07FB45E85
2018-10-31	Niels_Mache_Nextcloud	F-ECM	Factor: 4881958014437426196602343823
2018-10-26	J.R. Allen	NF	no factor TF: 38-57
2017-10-13	kkmrkkblmbrbk	C-PRP	M109063/993127679/201686497759 : DD153B8BF242C12F
2017-09-21	Oliver Kruse	C-PRP	M109063/993127679/201686497759 : DD153B8BF242C12F
2017-09-21	Oliver Kruse	C-PRP	M109063/993127679/201686497759 : DD153B8BF242C12F
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-26	J Feitsma	F	Factor: 201686497759

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