Decimal digits vs integer digits

[pier4r]

(02-21-2018 07:46 PM)Dieter Wrote:  No, I do not think that integers are easier or harder than decimals.

Dieter

Aside from the "semantic flaws" of my post, you got the idea of what I mean.

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.