Re: Conjecture Ludovicus V

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• ... Looks like an expensive method of approximating log(2) ? David (with no sound basis for this guess)
Message 1 of 6 , Nov 11, 2012
Phil Carmody <thefatphil@...> wrote:

> 17 131101 0.6948838285968673741945871092
> 18 262147 0.6944460786798661063812187741
> 19 524309 0.6969871254592594758140428033
> 20 1048583 0.6992402515337114838314592173
> 21 2097169 0.7007186928388776062866463444
> 22 4194319 0.6970925620012833876499535047
> 23 8388617 0.6951323183116127789119946883
> 24 16777259 0.6948711428730801610212743660
> 25 33554467 0.6956608736980247707005160260

Looks like an expensive method of approximating log(2) ?

David (with no sound basis for this guess)
• ... hmmmm you mean ln(2) :-) ... Yann (who wonders what kind of relationship there can be between ln(2) and the threshold voltage of a bipolar transistor...
Message 2 of 6 , Nov 11, 2012
Le 2012-11-11 13:11, djbroadhurst a écrit :
>> 25 33554467 0.6956608736980247707005160260
> Looks like an expensive method of approximating log(2) ?

hmmmm you mean ln(2) :-)

> David (with no sound basis for this guess)

Yann (who wonders what kind of relationship
there can be between ln(2) and the threshold
voltage of a bipolar transistor...
damn coincidences)
• ... ln(2) is just a fussy way of writing log(2) for the benefit people who think that God has 10 fingers. In fact She has exp(1) fingers :-) David
Message 3 of 6 , Nov 11, 2012

> hmmmm you mean ln(2) :-)

ln(2) is just a fussy way of writing log(2) for the
benefit people who think that God has 10 fingers.
In fact She has exp(1) fingers :-)

David
• ... That value went through my head too, certainly. If it is log(2), I would hope that there is a sound reason for it to be so. Phil
Message 4 of 6 , Nov 11, 2012
> --- In primenumbers@yahoogroups.com, Phil Carmody <thefatphil@...> wrote:
> > 17 131101 0.6948838285968673741945871092
> > 18 262147 0.6944460786798661063812187741
> > 19 524309 0.6969871254592594758140428033
> > 20 1048583 0.6992402515337114838314592173
> > 21 2097169 0.7007186928388776062866463444
> > 22 4194319 0.6970925620012833876499535047
> > 23 8388617 0.6951323183116127789119946883
> > 24 16777259 0.6948711428730801610212743660
> > 25 33554467 0.6956608736980247707005160260
>
> Looks like an expensive method of approximating log(2) ?
>
> David (with no sound basis for this guess)

That value went through my head too, certainly. If it is log(2), I would hope that there is a sound reason for it to be so.

Phil
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