M4 150 365 473 Mersenne number exponent details

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is 2 ^4150365473 - 1

has 1249384501 decimal digits

takes 1,041,242.153 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	0.1152	54.9296%	-	-	-	-	0.1152	54.9296%
Target	2⁹²	241,659.2373	65.2174%	20000000	6000000000	125,796.0639	4.2510%	367,455.3012	66.6960%
Difference	-21	-241,659.1221	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2510%	-367,455.1860	-11.7664%

Known prime factors (2 factors, 88.1 bits, 0.00000212% 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
4150365473	124510964191	12	36.857	15 3 × 5	2012-08-20	3	5	2.285e-12	0.0011	0.0022
4150365473	2750223079221559	16	51.288	331323 3 × 110441	2019-07-12	3	110441	1.347e-7	2.1899	4.0882

1 Composite Factors:

P-1 results:
No P-1 results for M4150365473

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-12			2⁵¹	2⁵²	2750223079221559	51.288	16	6.24690e-8	2,113,150	0.032
2023-07-19	JamesHeinrich	RTX4090	2¹	2⁶⁸	124510964191	36.857	12	0.014	2,113,150	0.032
2023-07-19	JamesHeinrich	RTX4090	2¹	2⁶⁸	2750223079221559	51.288	16	0.014	2,113,150	0.032
2023-07-29	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.101	-	-

ECM factoring results:
No ECM results for M4150365473

Lucas-Lehmer results:
No L-L results for M4150365473

PRP results:
No PRP results for M4150365473

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷¹

2⁶⁸

2⁵²

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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