M4 050 100 973 Mersenne number exponent details

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is 2 ^4050100973 - 1

has 1219201879 decimal digits

takes 1,016,087.832 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	0.1180	54.9296%	-	-	-	-	0.1180	54.9296%
Target	2⁹²	247,641.7654	65.2174%	20000000	9600000000	197,146.2306	4.2410%	444,787.9959	66.6925%
Difference	-21	-247,641.6473	-10.2878%	-20000000	-9600000000	-197,146.2306	-4.2410%	-444,787.8779	-11.7630%

Known prime factors (2 factors, 97.1 bits, 0.00000240% 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
4050100973	2235655737097	13	41.024	276 2² × 3 × 23	2012-08-20	4	23	1.199e-10	0.0018	0.0030
4050100973	73759952908159241	17	56.034	9105940 2² × 5 × 19 × 31 × 773	2019-10-16	31	773	4.289e-6	0.0260	0.0287

1 Composite Factors:

P-1 results:
No P-1 results for M4050100973

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-01			2⁴¹	2⁴²	2235655737097	41.024	13	4.75321e-11	238,908	1.01650e-10
2019-10-16			2⁵⁶	2⁵⁷	73759952908159241	56.034	17	1.91870e-6	238,908	4.10323e-6
TF systematically completed to 64 but no per-exponent detailed record exists
2023-01-21	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.103	-	-

ECM factoring results:
No ECM results for M4050100973

Lucas-Lehmer results:
No L-L results for M4050100973

PRP results:
No PRP results for M4050100973

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

2⁵⁷

2⁴²

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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