M4 283 040 791 Mersenne number exponent details

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is 2 ^4283040791 - 1

has 1289323751 decimal digits

takes 1,159,246.631 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	0.1116	54.9296%	-	-	-	-	0.1116	54.9296%
Target	2⁹²	234,173.3838	65.2174%	22000000	9600000000	213,431.9719	4.3025%	447,605.3556	66.7139%
Difference	-21	-234,173.2721	-10.2878%	-22000000	-9600000000	-213,431.9719	-4.3025%	-447,605.2440	-11.7843%

Known prime factors (3 factors, 124.4 bits, 0.00000290% 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
4283040791	8566081583	10	32.996	1 1	2012-08-20	1	1	1.339e-13	0.0004	0.0008
4283040791	308378936953	12	38.166	36 2² × 3²	2019-07-14	9	9	9.283e-12	0.0035	0.0072
4283040791	10290913505025193	17	53.192	1201356 2² × 3² × 13 × 17 × 151	2019-07-14	17	151	3.842e-7	0.0095	0.0136

4 Composite Factors:

P-1 results:
No P-1 results for M4283040791

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-14			2³⁸	2³⁹	308378936953	38.166	12	7.32832e-13	250,917	1.55645e-12
2019-07-14			2⁵³	2⁵⁴	10290913505025193	53.192	17	1.04058e-7	250,917	2.21008e-7
TF systematically completed to 64 but no per-exponent detailed record exists
2022-12-06	slaur	palvi2-rtx	2⁷⁰	2⁷¹		-	-	0.056	-	-

ECM factoring results:
No ECM results for M4283040791

Lucas-Lehmer results:
No L-L results for M4283040791

PRP results:
No PRP results for M4283040791

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

10⁰

10¹

10²

10³

TF factor-bounds graph:

2⁷¹

2⁵⁴

2³⁹

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2023-07-11T14:45:05+00:00