Mike,

Many thanks for the guidance.  I’d already determined that my x: approaches to 
#66 were going to involve waiting for the earth to crash into the sun—or, 
equally unattractive, paying Google Cloud Platform for a fleet of “Godzilla” 
class VMs—so I am looking in other directions.  I took a break and went back to 
Prime Digit Replacements (#51), the brevity of whose eventual solution filled 
me with nerd pride :-).  (Am I the only Project Euler J developer who gets a 
guilty thrill from reviewing the magnum opuses submitted by other participants?)

Thanks again.

Ed

Sent from my iPad

> On May 1, 2022, at 8:25 PM, 'Michael Day' via Programming 
> <programm...@jsoftware.com> wrote:
> 
> Mainly for Ed Gottsman:
> 
> Chat really,  but the thread is already here.
> 
> I've just solved Euler Problem 788 with the assistance of extended precision 
> numbers.  The solution is
> slow,  taking over 14 minutes,  but at least it's less than the lifetime of 
> the universe,  unlike my (projected)
> methods for some of these problems!
> 
> It's relatively easy,  compared with many of the recent questions; 
> https://projecteuler.net/problem=788 .
> 
> As for Ed's original post,  I'll point out that x: features aren't necessary 
> for the solution of problem 66
> although they can possibly help in understanding it.  I don't think that's a 
> spoiler.
> 
> Cheers,
> 
> Mike
> 
>> On 21/04/2022 17:43, Ed Gottsman wrote:
>> Hello.
>>  I’m working on the Project Euler “Diophantine equation” problem (#66) and 
>> using J’s extended precision facilities.  I’ve run into behavior that 
>> confuses me.  Boiled down (and overusing x: just to be sure):
>>      x: %: x: 1 + x: *: x: 999999999
>> 999999999
>>  That is (if my syntax is right), the square root of (one plus the square of 
>> a really large n) is n.  I’m apparently misunderstanding something about 
>> extended precision.  I’ve tried it with a variety of uses of x: but to no 
>> avail, and as I read the x: documentation…this is an odd result.
>> 
>> Any help would be much appreciated.
>>  (J901 on iPadOS, for which sincere kudos to Ian Clark.)
>>  Many thanks.
>>  Ed
>> ----------------------------------------------------------------------
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