109 253 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
24364629656965673	17	54.4	old
34421363351905111	17	54.9	2008-09-30 13:17:58
3908034269626093777	19	61.8	2009-03-05 15:09:19
1881520068078729883281031	25	80.6	2014-08-04 11:21:48
255137513389530875241329438719	30	97.7	2018-11-19 14:38:36
439681522612734834913230958423	30	98.5	2024-12-02 17:10:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	688 / 1566

Estimated T-Level: 32.2 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	BFEC442F28BD49BB	4	0	1	3
Factored	No proof (small exponent)	2017-10-09	Chang Chia-Tche	BFEC442F28BD49BB	4	0	1	3
Factored	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	BFEC442F28BD49BB	4	56228	1	3
Factored	No proof (small exponent)	2018-11-21	Oliver Kruse	51410815A07D078B	5	18673	5	3
Factored	No proof (small exponent)	2018-11-21	kkmrkkblmbrbk	51410815A07D078B	5	12714	5	3
Factored	No proof (small exponent)	2018-11-22	Ducho_YYZ	51410815A07D078B	5	62560	5	3
Factored	Not Uploaded	2022-04-15	LordJulius	51410815A07D078B	5	27124	5	3
Factored	Certified Good	2022-11-08	LordJulius	51410815A07D078B	5	67917	5	3
Verified	Certified Good	2024-12-02	USAFSS	51410815A07D078B	6	49772	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=900364000, B2=137332171046070
2025-12-16	ViliamF	NF-PM1	B1=100000000, B2=2097943848000
2024-12-02	LOBES	CERT	Proof certified good
2024-12-02	USAFSS	C-PRP	M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719/439681522612734834913230958423 : 51410815A07D078B Proof Certified Good Proof Power: 5
2024-12-02	USAFSS	F-ECM	Factor: 439681522612734834913230958423 / ECM curve 33, B1=1327691, B2=7443190755, Edwards Sigma=5904352322462380
2022-11-08	Dry Creek Photo	CERT	Proof certified good
2022-11-08	LordJulius	C-PRP	M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719 : 51410815A07D078B 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: 58-59
2022-05-07	LordJulius	NF	no factor TF: 59-60
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719 : 51410815A07D078B Proof Not Uploaded Proof Power: 5
2018-11-22	Ducho_YYZ	C-PRP	M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719 : 51410815A07D078B
2018-11-21	kkmrkkblmbrbk	C-PRP	M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719 : 51410815A07D078B
2018-11-21	Oliver Kruse	C-PRP	M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719 : 51410815A07D078B
2018-11-19	Niels_Mache_Nextcloud	F-ECM	Factor: 255137513389530875241329438719
2017-10-13	kkmrkkblmbrbk	C-PRP	M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031 : BFEC442F28BD49BB
2017-10-09	Chang Chia-Tche	C-PRP	M109253/known_factors : BFEC442F28BD49BB
2017-09-21	Oliver Kruse	C-PRP	M109253/known_factors : BFEC442F28BD49BB
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-08-04	TJAOI	F-ECM	Factor: 1881520068078729883281031
2009-03-05	-anonymous-	F-ECM	Factor: 3908034269626093777
2008-09-30	markr	F	Factor: 34421363351905111

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