M4 001 492 069 Mersenne number exponent details

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is 2 ^4001492069 - 1

has 1204569141 decimal digits

takes 1,003,892.848 GHz-days to do one PRP test

0 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	0.1195	54.9296%	-	-	-	-	0.1195	54.9296%
Target	2⁹²	250,650.0419	65.2174%	20000000	6000000000	125,796.0639	4.2361%	376,446.1058	66.6908%
Difference	-21	-250,649.9224	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2361%	-376,445.9863	-11.7612%

Known prime factors (2 factors, 98.2 bits, 0.00000246% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4001492069	32011936553	11	34.898	4 2²	2012-08-20	4	4	5.774e-13	0.0015	0.0030
4001492069	11713884067537722727	20	63.345	1463689527 3 × 409 × 641 × 1861	2019-12-23	641	1861	0.0004	0.2574	0.4746

1 Composite Factors:

P-1 results:
No P-1 results for M4001492069

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-28			2³⁴	2³⁵	32011936553	34.898	11	5.44719e-15	2,038,450	0.034
2019-12-23	slaur	palvi2-rtx	2¹	2⁶⁴	11713884067537722727	63.345	20	0.001	2,038,450	0.034
2023-10-27	VladimirLapin	GTX1080	2³¹	2⁶⁸	11713884067537722727	63.345	20	0.015	2,038,450	0.034
2023-10-27	VladimirLapin	GTX1080	2³¹	2⁶⁸	32011936553	34.898	11	0.015	2,038,450	0.034
2022-12-11	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.105	-	-

ECM factoring results:
No ECM results for M4001492069

Lucas-Lehmer results:
No L-L results for M4001492069

PRP results:
No PRP results for M4001492069

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

10⁰

10¹

10²

10³

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁷¹

2⁶⁸

2⁶⁴

2³⁵

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-10-27T18:34:25+00:00