4 159 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
31268686049852386409057899188977231895225891280471760041	56	184.4	2019-04-21 02:15:42

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	40830 / 40830
60	260000000	26659 / 105362

Estimated T-Level: 56.3 ⓘ

TF below 2^182 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	6564	0
Verified (Factored)		George Woltman	DCADDF5ED338E564	0
Verified (Factored)		Brian J. Beesley	DCADDF5ED338E564	0
Verified (Factored)	2015-04-11	MadPoo	DCADDF5ED338E564	1203

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-04-21	ANONYMOUS	9C54B423D0DE4E25	1	2489	5	3
Verified	2019-04-21	ANONYMOUS	9C54B423D0DE4E25	1	3623	5	3
Verified	2019-04-21	SRJ2877	9C54B423D0DE4E25	1	2819	5	3
Verified	2019-04-21	matzetoni	9C54B423D0DE4E25	1	3919	5	3
Verified	2019-04-23	bunddog	7EDFBE58C8474EAC	1	0	1	3
Verified	2019-07-16	kkmrkkblmbrbk	7EDFBE58C8474EAC	1	3443	1	3
Verified	2020-04-17	Oliver Kruse	9C54B423D0DE4E25	1	2155	5	3

History

Date	User	Type	Result
2025-05-11	masser	NF-PP1	Start=147/67, B1=2600000000, B2=2597400000000
2023-05-18	-Anonymous-	NF-PM1	B1=78000000000, B2=782159992887753480
2020-04-17	Oliver Kruse	C-PRP	M4159/31268686049852386409057899188977231895225891280471760041 : 9C54B423D0DE4E25 PRP: Verified PRP without proof (small exponent)
2019-07-16	kkmrkkblmbrbk	C-PRP	M4159/31268686049852386409057899188977231895225891280471760041 : 7EDFBE58C8474EAC PRP: Verified PRP without proof (small exponent)
2019-04-23	bunddog	C-PRP	M4159/known_factors : 7EDFBE58C8474EAC PRP: Verified PRP without proof (not generated)
2019-04-21	matzetoni	C-PRP	M4159/31268686049852386409057899188977231895225891280471760041 : 9C54B423D0DE4E25 PRP: Verified PRP without proof (small exponent)
2019-04-21	SRJ2877	C-PRP	M4159/31268686049852386409057899188977231895225891280471760041 : 9C54B423D0DE4E25 PRP: Verified PRP without proof (small exponent)
2019-04-21	ANONYMOUS	C-PRP	M4159/31268686049852386409057899188977231895225891280471760041 : 9C54B423D0DE4E25 PRP: Verified PRP without proof (small exponent)
2019-04-21	ANONYMOUS	C-PRP	M4159/31268686049852386409057899188977231895225891280471760041 : 9C54B423D0DE4E25 PRP: Verified PRP without proof (small exponent)
2019-04-21	Ryan Propper	F-ECM	Factor: 31268686049852386409057899188977231895225891280471760041
2018-07-21	snme2pm1	NF	no factor from 2^63 to 2^64
2017-03-16	BloodIce	NF-PM1	B1=500000000000, B2=50000000000000, E=12
2016-12-15	snme2pm1	NF	no factor from 2^62 to 2^63
2016-05-17	-Anonymous-	NF-PM1	B1=100000000000, B2=1000000000000, E=12
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-06-07	Sid & Andy	NF	no factor from 2^61 to 2^62
2015-04-19	mikr	NF-PM1	B1=30000000000, B2=2400000000000, E=12
2015-04-11	MadPoo	C-LL	DCADDF5ED338E564
2015-02-06	Jayder	NF-PM1	B1=3092987047, B2=201044158061, E=12
2012-09-29	bcp19	NF	no factor from 2^60 to 2^61
2011-04-25	Joss	NF-PM1	B1=10000000000
2011-02-10	monst	NF	no factor from 2^58 to 2^60

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