Decimal digits vs integer digits

[Valentin Albillo]

pier4r Wrote:In other words, how come that for some numbers we can compute a lot of seemingly random digits (example: pi), but for numbers that grow we have difficulties.
There should be an underlying property that makes the latter harder.

I mean computing the digits of 10^1000 is not difficult, as other particular numbers, but those 1720 digits of 345^678 are pretty intensive to compute and I do not know any number that has seemingly random digits (and it is not derived from a power of two, like the Marsenne primes or possible primes) that was computed to many digits like pi.

Nope. Have a look at this thread of mine, look at the very end where I give my solution to Take 5:

Short & Sweet Math Challenge 15.

You will find a short, 9-line program which I wrote to quickly and effortlessly compute the 19729-digit integer answer.

V.
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