M4 215 697 427 Mersenne number exponent details

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is 2 ^4215697427 - 1

has 1269051379 decimal digits

takes 1,141,019.495 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	0.1134	54.9296%	-	-	-	-	0.1134	54.9296%
Target	2⁹²	237,914.1701	65.2174%	20000000	6000000000	135,714.1979	4.2574%	373,628.3680	66.6982%
Difference	-21	-237,914.0567	-10.2878%	-20000000	-6000000000	-135,714.1979	-4.2574%	-373,628.2546	-11.7687%

Known prime factors (1 factor, 38.7 bits, 0.00000092% 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
4215697427	438432532409	12	38.674	52 2² × 13	2012-08-20	4	13	9.762e-12	0.0018	0.0032

P-1 results:
No P-1 results for M4215697427

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2023-06-02	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.099	-	-

ECM factoring results:
No ECM results for M4215697427

Lucas-Lehmer results:
No L-L results for M4215697427

PRP results:
No PRP results for M4215697427

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