109 883 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
219767	6	17.7	old
12526663	8	23.6	2008-07-26 09:17:11
59996119	8	25.8	2008-07-26 09:17:11
64171673	8	25.9	2008-07-26 09:17:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	734 / 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	429C2A8391EB220E	4	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	429C2A8391EB220E	4	66082	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E5FC08391024CC09	4	83131	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	E5FC08391024CC09	4	53608	5	3
Factored	Not Uploaded	2022-05-12	Jorge Coveiro	E5FC08391024CC09	1	49254	5	3
Verified	Certified Good	2022-11-11	LordJulius	E5FC08391024CC09	4	73908	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=894224000, B2=137332171046070
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2947421827350
2022-11-11	JacobZ	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109883/219767/12526663/59996119/64171673 : E5FC08391024CC09 Proof Not Uploaded Proof Power: 5
2022-05-12	Jorge Coveiro	C-PRP	M109883/219767 : E5FC08391024CC09 Proof Not Uploaded Proof Power: 5
2022-05-08	LordJulius	NF	no factor TF: 59-60
2022-05-08	LordJulius	NF	no factor TF: 58-59
2022-05-08	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109883/219767/12526663/59996119/64171673 : E5FC08391024CC09 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109883/219767/12526663/59996119/64171673 : E5FC08391024CC09
2018-06-01	BloodERazor	NF	no factor TF: 64-65
2018-06-01	BloodERazor	NF	no factor TF: 63-64
2018-06-01	BloodERazor	NF	no factor TF: 62-63
2018-06-01	BloodERazor	NF	no factor TF: 61-62
2018-06-01	BloodERazor	NF	no factor TF: 60-61
2018-06-01	BloodERazor	NF	no factor TF: 59-60
2018-06-01	BloodERazor	NF	no factor TF: 58-59
2018-06-01	BloodERazor	NF	no factor TF: 57-58
2018-06-01	BloodERazor	NF	no factor TF: 56-57
2018-06-01	BloodERazor	NF	no factor TF: 55-56
2018-06-01	BloodERazor	NF	no factor TF: 54-55
2017-10-13	kkmrkkblmbrbk	C-PRP	M109883/219767/12526663/59996119/64171673 : 429C2A8391EB220E
2017-09-21	Oliver Kruse	C-PRP	M109883/219767/12526663/59996119/64171673 : 429C2A8391EB220E
2017-09-21	Oliver Kruse	C-PRP	M109883/219767/12526663/59996119/64171673 : 429C2A8391EB220E
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-26	J Feitsma	F	Factor: 64171673
2008-07-26	J Feitsma	F	Factor: 59996119
2008-07-26	J Feitsma	F	Factor: 12526663

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