2 053 Exponent Status

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
3994132379033469883845814767575996546561	40	131.6	old

ECM

Estimated T-Level: 58.0 ⓘ

TF below 2^188 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	C4927947F9D3D1A8	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	C4927947F9D3D1A8	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	C4927947F9D3D1A8	1	855	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A433627F9B399520	1	771	5	3
Verified	No proof (small exponent)	2022-02-03	LordJulius	A433627F9B399520	1	316	5	3
Verified	No proof (small exponent)	2022-11-02	LordJulius	A433627F9B399520	1	144	5	3

History

Date	User	Type	Result
2025-03-29	masser	NF-PP1	Start=145/61, B1=12500000000, B2=12487500000000
2024-05-13	masser	NF-PM1	B1=100000000000, B2=139765369387944300
2022-11-02	LordJulius	C-PRP	M2053/3994132379033469883845814767575996546561 : A433627F9B399520
2022-02-03	LordJulius	C-PRP	M2053/3994132379033469883845814767575996546561 : A433627F9B399520
2020-04-17	Oliver Kruse	C-PRP	M2053/3994132379033469883845814767575996546561 : A433627F9B399520
2017-12-07	ATH	C-PRP	M2053/3994132379033469883845814767575996546561 : C4927947F9D3D1A8
2017-10-02	kkmrkkblmbrbk	C-PRP	M2053/3994132379033469883845814767575996546561 : C4927947F9D3D1A8
2017-09-21	Oliver Kruse	C-PRP	M2053/known_factors : C4927947F9D3D1A8
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=10000000000, B2=500000000000, E=12
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2002-12-25	-anonymous-	NF-PM1	B1=4290000000
2002-10-19	Alex Kruppa	NF	no factor TF: 1-57
2002-09-14	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-03	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2002-05-25	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000
2001-05-20	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-07-25	-anonymous-	NF	no factor TF: 1-56
2000-01-25	-anonymous-	NF	no factor TF: 54-55
1998-09-20	-anonymous-	NF	no factor TF: 50-54

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