1 738 669 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
34855919540735470113554557280990897	35	114.7	2023-01-04 15:31:16

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Alex van Renesse	B0F627E5DB74A5DD	0
Verified (Factored)	1998-11-28	Kent Lee	B0F627E5DB74A5DD	1278364
Verified (Factored)	2015-07-18	MadPoo	B0F627E5DB74A5DD	1288050

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	E09DB48EB2491BB3	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-01-06	LordJulius	E09DB48EB2491BB3	1	592203	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-04	34855919540735470113554557280990897	1738669	1043752710

History

Date	User	Type	Result
2025-09-03	Carlos Pinho	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	E09DB48EB2491BB3 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2023-01-06	Tercariol, C. A. S.	CERT	PRP Certification Proof certified good
2023-01-06	LordJulius	C-PRP	M1738669/34855919540735470113554557280990897 : E09DB48EB2491BB3 PRP proof power = 7 PRP: Verified Proof certified good
2023-01-04	Joss	F-PM1	Factor: 34855919540735470113554557280990897 / (P-1, B1=1738669, B2=1043752710)
2022-08-01	masser	NF-PP1	Start=192/23, B1=1700000, B2=61200000
2019-06-17	TJAOI	NF	no factor from 2^67 to 2^68
2018-10-17	Joss	NF-PM1	B1=1738669, B2=191253590, E=12
2018-08-09	Joss	NF-PM1	B1=1738669, B2=173866900, E=12
2018-02-26	TJAOI	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-02-23	Mark Rose	NF	no factor from 2^61 to 2^62
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-09-04	ramgeis	NF	no factor from 2^65 to 2^66
2015-07-18	MadPoo	C-LL	B0F627E5DB74A5DD
2015-05-06	snme2pm1	NF	no factor from 2^64 to 2^65
2015-05-06	snme2pm1	NF	no factor from 2^63 to 2^64
2015-04-10	mikr	NF-PM1	B1=2475400, B2=86660000, E=12
2014-12-02	Joss	NF-PM1	B1=210748
2014-09-11	Joss	NF-PM1	B1=173832
2014-05-06	Joss	NF-PM1	B1=136916
2014-04-05	Joss	NF-PM1	B1=100000
2011-02-10	Carsten Kossendey	NF-PM1	B1=95000, B2=1543750, E=6
2010-11-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-24	Architects Cubed	NF	no factor from 2^60 to 2^61

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