M4 024 301 417 Mersenne number exponent details

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is 2 ^4024301417 - 1

has 1211435439 decimal digits

takes 1,009,615.249 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	0.1188	54.9296%	-	-	-	-	0.1188	54.9296%
Target	2⁹²	249,229.3819	65.2174%	20000000	6000000000	125,796.0639	4.2384%	375,025.4458	66.6916%
Difference	-21	-249,229.2631	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2384%	-375,025.3270	-11.7620%

Known prime factors (2 factors, 86.3 bits, 0.00000214% 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
4024301417	96583234009	11	36.491	12 2² × 3	2012-08-20	4	4	2.340e-12	0.0015	0.0030
4024301417	965309180895791	15	49.778	119935 5 × 17² × 83	2019-06-29	289	289	2.906e-8	0.1051	0.2140

1 Composite Factors:

P-1 results:
No P-1 results for M4024301417

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-29			2³⁶	2³⁷	96583234009	36.491	11	6.49958e-14	237,584	1.39112e-13
2019-06-29			2⁴⁹	2⁵⁰	965309180895791	49.778	15	1.04271e-8	237,584	2.23173e-8
2023-01-02	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.104	-	-

ECM factoring results:
No ECM results for M4024301417

Lucas-Lehmer results:
No L-L results for M4024301417

PRP results:
No PRP results for M4024301417

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

TF factor-bounds graph:

2⁷¹

2⁵⁰

2³⁷

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-10-02T12:12:48+00:00