3 469 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

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	13883 / 40830

Estimated T-Level: 51.7 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	63AA716E7598F032	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	63AA716E7598F032	1	836	1	3
Verified (Factored)	2019-09-20	mnd9	A172B4B6D6FA249A	2	139	5	3
Verified (Factored)	2019-09-20	ATH	A172B4B6D6FA249A	2	1309	5	3
Verified (Factored)	2019-09-20	mnd9	A172B4B6D6FA249A	2	1512	5	3
Verified (Factored)	2019-09-20	ANONYMOUS	A172B4B6D6FA249A	2	915	5	3
Verified	2019-09-22	Fan Ming	A172B4B6D6FA249A	3	2307	5	3
Verified	2019-09-22	mnd9	A172B4B6D6FA249A	3	217	5	3
Verified	2019-09-22	Fan Ming	222E578AD72EAEFD	3	1836	5	5
Verified (Factored)	2019-09-22	Fan Ming	222E578AD72EAEFD	2	2973	5	5
Verified	2019-09-22	Fan Ming	F4973BD935788F47	3	1085	5	7
Verified (Factored)	2019-09-22	Fan Ming	F4973BD935788F47	2	1399	5	7
Verified	2019-09-26	qq1010903229	222E578AD72EAEFD	3	1456	5	5
Verified	2019-09-26	qq1010903229	F4973BD935788F47	3	2651	5	7
Verified	2020-04-17	Oliver Kruse	A172B4B6D6FA249A	3	633	5	3

History

Date	User	Type	Result
2024-05-26	masser	NF-PM1	B1=77000000000, B2=107480965422530700
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591/26986219460887865077246780062382524157065755329679 : A172B4B6D6FA249A PRP: Verified PRP without proof (small exponent)
2019-09-26	qq1010903229	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591/26986219460887865077246780062382524157065755329679 : F4973BD935788F47 PRP: Verified PRP without proof (small exponent)
2019-09-26	qq1010903229	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591/26986219460887865077246780062382524157065755329679 : 222E578AD72EAEFD PRP: Verified PRP without proof (small exponent)
2019-09-22	Fan Ming	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591 : F4973BD935788F47 PRP: Verified PRP without proof (small exponent)
2019-09-22	Fan Ming	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591/26986219460887865077246780062382524157065755329679 : F4973BD935788F47 PRP: Verified PRP without proof (small exponent)
2019-09-22	Fan Ming	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591 : 222E578AD72EAEFD PRP: Verified PRP without proof (small exponent)
2019-09-22	Fan Ming	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591/26986219460887865077246780062382524157065755329679 : 222E578AD72EAEFD PRP: Verified PRP without proof (small exponent)
2019-09-22	mnd9	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591/26986219460887865077246780062382524157065755329679 : A172B4B6D6FA249A PRP: Verified PRP without proof (small exponent)
2019-09-22	Fan Ming	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591/26986219460887865077246780062382524157065755329679 : A172B4B6D6FA249A PRP: Verified PRP without proof (small exponent)
2019-09-21	Ryan Propper	F-ECM	Factor: 26986219460887865077246780062382524157065755329679 / (ECM curve 59, B1=43000000)
2019-09-20	ANONYMOUS	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591 : A172B4B6D6FA249A PRP: Verified PRP without proof (small exponent)
2019-09-20	mnd9	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591 : A172B4B6D6FA249A PRP: Verified PRP without proof (small exponent)
2019-09-20	ATH	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591 : A172B4B6D6FA249A PRP: Verified PRP without proof (small exponent)
2019-09-20	mnd9	C-PRP	M3469/49099830535845038692501139425951/37348491837034243119009566080086312425866591 : A172B4B6D6FA249A PRP: Verified PRP without proof (small exponent)
2019-09-19	Ryan Propper	F-ECM	Factor: 37348491837034243119009566080086312425866591 / (ECM curve 59, B1=43000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3469/49099830535845038692501139425951 : 63AA716E7598F032 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3469/49099830535845038692501139425951 : 63AA716E7598F032 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3469/49099830535845038692501139425951 : 63AA716E7598F032 PRP without proof (not generated)

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