1 653 499 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
36613476932366502819565171398905303	35	114.8	2012-02-14 09:10:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	137 / 640

Estimated T-Level: 26.1 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Bad		Alex and Nick Myrman	B8C	0
Verified (Factored)		Brian J. Beesley	58747AE4E4AD3B8B	0
Bad		Jean-Charles Meyrignac	6F3473E62EA4D4FE	0
Verified (Factored)	1998-12-21	Kerry Nice	58747AE4E4AD3B8B	166487

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	8CD8BCC6CCF8DAAE	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-02	Oliver Kruse	043E3708025522EC	1	0	1	3
Verified	2017-11-02	kkmrkkblmbrbk	043E3708025522EC	1	1360172	1	3
Verified	2024-12-31	Bommer	8CD8BCC6CCF8DAAE	1	1287917	5	3

P-1 factors

Date	Factor	B1	B2
2024-12-31	36613476932366502819565171398905303	1000000	3521039340

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	8CD8BCC6CCF8DAAE PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2024-12-31	Xyzzy	CERT	PRP Certification Proof certified good
2024-12-31	Bommer	C-PRP	M1653499/36613476932366502819565171398905303 : 8CD8BCC6CCF8DAAE PRP proof power = 6 PRP: Verified Proof certified good
2024-12-31	Bommer	F-PM1	Factor: 36613476932366502819565171398905303 / (P-1, B1=1000000, B2=3521039340)
2017-11-02	kkmrkkblmbrbk	C-PRP	M1653499/36613476932366502819565171398905303 : 043E3708025522EC PRP: Verified PRP without proof (not generated)
2017-10-02	Oliver Kruse	C-PRP	M1653499/36613476932366502819565171398905303 : 043E3708025522EC PRP: Verified PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2012-02-14	Axon	F-ECM	Factor: 36613476932366502819565171398905303
2012-02-14	Axon	NF-PM1	B1=1000000, B2=40000000, E=12
2012-02-14	Axon	NF-PM1	B1=1000000, B2=32000000, E=12
2012-02-14	Axon	NF-PM1	B1=1000000, B2=24000000, E=12
2012-02-14	Axon	NF-PM1	B1=1000000, B2=16000000, E=12
2012-02-14	Axon	NF-PM1	B1=1000000
2012-02-14	Axon	NF-PM1	B1=900000
2012-02-14	Axon	NF-PM1	B1=800000
2012-02-14	Axon	NF-PM1	B1=700000
2012-02-14	Axon	NF-PM1	B1=600000
2012-02-14	Axon	NF-PM1	B1=500000
2012-02-14	Axon	NF-PM1	B1=400000
2012-02-14	Axon	NF-PM1	B1=300000
2012-02-14	Axon	NF-PM1	B1=200000
2012-02-14	Axon	NF-PM1	B1=100000
2010-08-13	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-29	Architects Cubed	NF	no factor from 2^60 to 2^61

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