## RE: [PrimeNumbers] Subject: prime chain,curios!

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• I get: (exp(Pi*sqrt(4*41-1))-744)^(1/3) = 640319.9999999999999999999999993903173522456062 Actually I did: \$ bc -l scale=40 p=3.1415926535897932384626433
Message 1 of 3 , Oct 2, 2001
I get:

(exp(Pi*sqrt(4*41-1))-744)^(1/3) =
640319.9999999999999999999999993903173522456062

Actually I did:
\$ bc -l
scale=40
p=3.1415926535897932384626433
s=sqrt(163)
w=e(p*s)-744
e(l(w)/3)

when I use "bc -l" on Unix.

WOW! I count 24 9's after the decimal point. Is 744 a fudge factor?

I, for one, would be interested in how this applies to Euler's formula.
Yes, I did look at the page referred to by David, but it was beyond me.
I'll look at Ribenboim tonight.

Tom
-----Original Message-----
Sent: Monday, October 01, 2001 5:07 PM

PS: Test you favorite 64-bit calculator with
(exp(Pi*sqrt(4*41-1))-744)^(1/3)

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• ... IIRC, this number was mentioned in Scientific American, Mathematical Games column, April 1976 in a April Fool s hoax. It must be in one of Martin
Message 2 of 3 , Oct 2, 2001
At 10:56 AM 10/2/2001 -0500, Hadley, Thomas H (Tom), NLCIO wrote:

> I, for one, would be interested in how this applies to Euler's formula.

IIRC, this number was mentioned in Scientific American, Mathematical Games
column, April 1976 in a April Fool's hoax. It must be in one of Martin
Gardner's books too. But that doesn't have much info about it.

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