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Old 2007-02-21, 00:30   #1
David John Hill Jr
 
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Default Possibly prime

By a currently bizarre method I've estimated that
2^(33554837)-1
repeat
2^33554837 -1
is prime.
Has this number been checked out using the forum methods?
If not, anyone willing to do it?
I don't have the computer capacity.
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Old 2007-02-21, 00:40   #2
akruppa
 
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The method is really rather bizarre, as 33554837 = 397 * 84521 is composite and so trivially cannot be the exponent of a Mersenne prime.

Alex
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Old 2007-02-21, 00:57   #3
David John Hill Jr
 
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Default Thanks.

I was trying something by hand on paper.
Back to the drawing board, one might say.
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Old 2007-02-21, 01:39   #4
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Default Further

Because 33554836 has its lowest term as 2^2, I
was pretty sure it might turn out ,minimally, pseudo.
The question is , is it?
Again my computer won't run (2^(p-1)-1)/p?
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Old 2007-02-21, 06:30   #5
David John Hill Jr
 
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Default Also

I notice that 33554839 is prime, but I can't as yet
say anything about 2^33554839-1
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Old 2007-02-21, 09:47   #6
akruppa
 
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Get the factors.zip file from George's Status page and the decomp.exe program. Then you can easily look up that 2^33554839-1 has 73887755479 as the smallest known prime factor. It wouldn't have been difficult to rediscover that factor with Prime95 even on an incredibly slow PC, either.

Alex
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Old 2007-02-21, 18:07   #7
ewmayer
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"I picked the wrong week to stop sniffing glue"
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Old 2007-02-22, 17:45   #8
David John Hill Jr
 
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Default Where my experimental work didn't confirm a mersenne.

Since I have never taken pleasure from , quote, 'sniffing glue', and these days
am suspicious of sweet smelling gasoline fumes accumulating dirt, mixed with moisture ,to boot, as involuntary impositions, I am trying to focus on other things.
From what I could tell,(my method takes on a different perspective for numbers with 'peak' as even, 2^26+)
the mersenne candidate I gave was invalid , because 2^26-2 ,didn't appear to divide (2^33554839-2)! .This ,given, 2^33554837,had an obvious fault of
2^2 dividing out,The 'bizarre' method is simply to carry out this division,and
to add to it,look for a case 2^1 included , does the job.
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Old 2007-02-22, 18:58   #9
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Do you use a zircon-encrusted slide rule for your calculations?
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Old 2007-02-22, 20:22   #10
ewmayer
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With a pair of heavy duty,
Zircon-encrusted slide rules in my hand,
Mathematical folks would know
That I was pretty grand.
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Old 2007-02-22, 20:25   #11
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