3 469 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
49099830535845038692501139425951	32	105.3	old
37348491837034243119009566080086312425866591	44	144.7	2019-09-19 19:06:05
26986219460887865077246780062382524157065755329679	50	164.2	2019-09-21 11:31:42

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	16550 / 16550
55	110000000	13929 / 40830

Estimated T-Level: 51.7 ⓘ

TF below 2^167 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	63AA716E7598F032	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	63AA716E7598F032	1	836	1	3
Factored	No proof (small exponent)	2019-09-20	mnd9	A172B4B6D6FA249A	2	139	5	3
Factored	No proof (small exponent)	2019-09-20	ATH	A172B4B6D6FA249A	2	1309	5	3
Factored	No proof (small exponent)	2019-09-20	mnd9	A172B4B6D6FA249A	2	1512	5	3
Factored	No proof (small exponent)	2019-09-20	ANONYMOUS	A172B4B6D6FA249A	2	915	5	3
Verified	No proof (small exponent)	2019-09-22	Fan Ming	A172B4B6D6FA249A	3	2307	5	3
Verified	No proof (small exponent)	2019-09-22	mnd9	A172B4B6D6FA249A	3	217	5	3
Verified	No proof (small exponent)	2019-09-22	Fan Ming	222E578AD72EAEFD	3	1836	5	5
Factored	No proof (small exponent)	2019-09-22	Fan Ming	222E578AD72EAEFD	2	2973	5	5
Verified	No proof (small exponent)	2019-09-22	Fan Ming	F4973BD935788F47	3	1085	5	7
Factored	No proof (small exponent)	2019-09-22	Fan Ming	F4973BD935788F47	2	1399	5	7
Verified	No proof (small exponent)	2019-09-26	loader3229	222E578AD72EAEFD	3	1456	5	5
Verified	No proof (small exponent)	2019-09-26	loader3229	F4973BD935788F47	3	2651	5	7
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A172B4B6D6FA249A	3	633	5	3

History

Date	User	Type	Result
2025-04-29	masser	NF-PP1	Start=117/67, B1=3100000000, B2=3096900000000
2024-05-26	masser	NF-PM1	B1=77000000000, B2=107480965422530700
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-04-17	Oliver Kruse	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591/26986219460887865077246780062382524157065755329679 : A172B4B6D6FA249A
2019-09-26	loader3229	C-PRP	ERROR PARSING RESULT
2019-09-26	loader3229	C-PRP	ERROR PARSING RESULT
2019-09-22	Fan Ming	C-PRP	ERROR PARSING RESULT
2019-09-22	Fan Ming	C-PRP	ERROR PARSING RESULT
2019-09-22	Fan Ming	C-PRP	ERROR PARSING RESULT
2019-09-22	Fan Ming	C-PRP	ERROR PARSING RESULT
2019-09-22	mnd9	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591/26986219460887865077246780062382524157065755329679 : A172B4B6D6FA249A
2019-09-22	Fan Ming	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591/26986219460887865077246780062382524157065755329679 : A172B4B6D6FA249A
2019-09-21	Ryan Propper	F-ECM	Factor: 26986219460887865077246780062382524157065755329679
2019-09-20	ANONYMOUS	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591 : A172B4B6D6FA249A
2019-09-20	mnd9	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591 : A172B4B6D6FA249A
2019-09-20	ATH	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591 : A172B4B6D6FA249A
2019-09-20	mnd9	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591 : A172B4B6D6FA249A
2019-09-19	Ryan Propper	F-ECM	Factor: 37348491837034243119009566080086312425866591
2017-10-12	kkmrkkblmbrbk	C-PRP	M3469/49099830535845038692501139425951 : 63AA716E7598F032
2017-09-21	Oliver Kruse	C-PRP	M3469/49099830535845038692501139425951 : 63AA716E7598F032
2017-09-21	Oliver Kruse	C-PRP	M3469/49099830535845038692501139425951 : 63AA716E7598F032
1998-05-01	Alex Kruppa	NF	no factor TF: 50-51
1998-05-01	Alex Kruppa	NF	no factor TF: 51-52
1998-04-27	Alex Kruppa	NF	no factor TF: 50-51

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