M4 235 165 839 Mersenne number exponent details

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is 2 ^4235165839 - 1

has 1274911955 decimal digits

takes 1,146,288.810 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	0.1129	54.9296%	-	-	-	-	0.1129	54.9296%
Target	2⁹²	236,820.5149	65.2174%	20000000	6000000000	135,714.1979	4.2593%	372,534.7129	66.6989%
Difference	-21	-236,820.4021	-10.2878%	-20000000	-6000000000	-135,714.1979	-4.2593%	-372,534.6000	-11.7693%

Known prime factors (1 factor, 42.2 bits, 0.00000100% 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
4235165839	5158431991903	13	42.230	609 3 × 7 × 29	2012-08-20	7	29	2.006e-10	0.0032	0.0056

P-1 results:
No P-1 results for M4235165839

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2023-06-20	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.099	-	-

ECM factoring results:
No ECM results for M4235165839

Lucas-Lehmer results:
No L-L results for M4235165839

PRP results:
No PRP results for M4235165839

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

TF factor-bounds graph:

2⁷¹

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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