5 273 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
38134337	8	25.2	old
10372530354079	14	43.2	old
105636369464519254639	21	66.5	old
14295639336224604778372751	26	83.6	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	10630 / 16550

Estimated T-Level: 48.2 ⓘ

TF below 2^155 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	BDD2290AB18AB394	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	BDD2290AB18AB394	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	BDD2290AB18AB394	4	186	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	34F16B85C416E481	4	2205	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	34F16B85C416E481	4	648	5	3

History

Date	User	Type	Result
2025-04-28	masser	NF-PP1	Start=113/67, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M5273/38134337/10372530354079/105636369464519254639/14295639336224604778372751 : 34F16B85C416E481
2023-06-29	-anonymous-	NF-PM1	B1=59000000000, B2=241667483419362000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2022-01-24	Ethan O'Connor	NF-PM1	B1=130000000, B2=184786243171530
2021-11-19	nordi	NF-PM1	B1=100000000
2021-11-19	nordi	NF-PM1	B1=1000000
2020-04-17	Oliver Kruse	C-PRP	M5273/38134337/10372530354079/105636369464519254639/14295639336224604778372751 : 34F16B85C416E481
2017-12-07	ATH	C-PRP	M5273/38134337/10372530354079/105636369464519254639/14295639336224604778372751 : BDD2290AB18AB394
2017-10-02	kkmrkkblmbrbk	C-PRP	M5273/38134337/10372530354079/105636369464519254639/14295639336224604778372751 : BDD2290AB18AB394
2017-09-21	Oliver Kruse	C-PRP	M5273/known_factors : BDD2290AB18AB394
2003-03-07	-anonymous-	F-ECM	Factor: 105636369464519254639
2003-03-07	-anonymous-	F-PM1	Factor: 395549568065177910623
2003-02-27	-anonymous-	F-ECM	Factor: 105636369464519254639
2003-02-27	-anonymous-	F-PM1	Factor: 41784420313664140347635088300523320130097
2003-02-27	-anonymous-	F	Factor: 395549568065177910623
2003-02-27	-anonymous-	F-PM1	Factor: 10372530354079
2003-02-16	-anonymous-	F-PM1	Factor: 395549568065177910623
2003-02-16	-anonymous-	F-ECM	Factor: 105636369464519254639
2003-02-16	-anonymous-	F-PM1	Factor: 10372530354079
2003-02-09	-anonymous-	F-PM1	Factor: 10372530354079
2003-02-09	-anonymous-	F-PM1	Factor: 395549568065177910623
2003-02-09	-anonymous-	F-ECM	Factor: 105636369464519254639
2003-02-02	-anonymous-	F	Factor: 10372530354079
2003-02-02	-anonymous-	F-PM1	Factor: 14295639336224604778372751
2003-02-02	-anonymous-	F	Factor: 395549568065177910623
2003-01-25	-anonymous-	F-ECM	Factor: 4028372912616486799392439343
2003-01-25	-anonymous-	F-PM1	Factor: 395549568065177910623
2003-01-25	-anonymous-	F-PM1	Factor: 545154728078045386310276798251087
2003-01-25	-anonymous-	F-ECM	Factor: 105636369464519254639
2003-01-16	-anonymous-	F-PM1	Factor: 395549568065177910623

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