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Figurates Up To 10^13


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Quoting Phillip 1882:

should reach donk's number by tomorrow morning

Right on! :woohoo:

 

 

Quoting Phillip 1882:

my computer auto restarted a couple of times

This is probably a silly question, but...

 

does that mean it shuts itself off when it's "tired"

and turns itself on when it's "rested" ?

 

Why does it do that and can it effect the accuracy of the calculations?

 

Don.

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ladies and gentlemen we have ignition. i have now surpassed donk's number.

 

This is probably a silly question, but...

does that mean it shuts itself off when it's "tired"

and turns itself on when it's "rested" ?

 

Why does it do that and can it effect the accuracy of the calculations?

 

Don.

no, I'm running a windows system and it installs updates even tough i have auto update turned off.

I'm recording my calculations, so as long as i re enter them correctly, this shouldn't affect the result.

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captain's log day 41

our team has recorded a new anomaly, the number of figurates up to

1,200,000,000,000; it turns out there are precisely 768,434,854,386 of them!

what strange new wonders will this uncover on the horizon? what will be the final frontier?

 

don, something doesn't seem right here, either my calculation is wrong or yours is. I'm hoping its yours it would take an additional 4 days to calculate mine over again. if you would like me to mail you my calculations from roughly 1,160,000,000,000 onward i can do that, ans we can see how you line up with my calcs.

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Just checked it... and......it looks good!!!!!!!!!!!!!!!!

My function predicted it to within 1000.

That's really good!

I'll give you a more detailed report and

update the "FSC tracking post" in an hour or so.

 

If possible, please post the results

from 1,100,000,000,000 to 1,200,000,000,000.

in increments of 10,000,000,000.

 

We can then analize the fluctuations in greater detail!

 

Don.

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right but my calculation is off by your prediction by over 500, when the previous calculation was off by only 10

that's a significant deference for "only" 100,000,000,000 more.

Post #15 in:

 

http://scienceforums.com/topic/22537-a-truly-worthwhile-challenge/

 

gives pretty reasonable upper and lower bounds,

so as long as your calculations continue to fall

in between those bounds, we are in good shape.

 

For instance, the functions in post #15 of the "Worthwhile Challenge" tread show that

the upper and lower bounds for [math]\varpi(1,200,000,000,000)[/math] are:

[math]768,434,855,570[/math] and [math]768,434,852,874[/math] respectively,

and your calculation:[math]\varpi(1,200,000,000,000)=768,434,854,386[/math]

falls right in between. Considering that we are now dealing with values of [math]x[/math]

that are well into the trillions, that's pretty darn good (if not astonishing!).

 

My guess is that by the time you calculate [math]\varpi(2,000,000,000,000)[/math]

(in about a month from now), there will probably be a couple of instances

where [math]B(x)*\left(\frac{\alpha}{\mu-2*e}\right)[/math] gives an overestimate,

and so far, the overestimates have all been a lot closer than the underesitmates!

I have never been so jazzed in my life!:note: :rockon: :note2:

We are definitely on the right track, so full speed ahead! :steering: :eplane: :airplane:

 

How long before we have [math]\varpi(1,300,000,000,000)[/math] ?

 

Don.

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Anna Lize is pretty amazed!

After yet another hundred billion,

we are off by only -512.

 

Can you mail me (or post) the results from:

1,200,000,000,000 to 1,300,000,000,000 in increments of 20,000,000,000

without in any way jeapordizing your wonderful computer as

it is working on determining [math]\varpi(1,400,000,000,000)[/math]?

 

I will update post #6 in this thread tonight.

 

Don

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