Okay, so here's another one...

[mart_r]

... for all you number crunchers out there.

Maybe you already heard about "minimal primes": http://primes.utm.edu/glossary/page....t=MinimalPrime

So far, so easy.

Now, what about the minimal set of square numbers?
Here's how it starts:
1
4
9
25
36
576
676
7056
80656
665856
2027776
2802276
22282727076
77770707876
78807087076
7888885568656
8782782707776
72822772707876
...

- How many others can you find?
- Will this list come to an end eventually?

[CRGreathouse]

An easier problem would use the nonnegative squares rather than the positive squares.

Originally Posted by mart_r

- Will this list come to an end eventually?

Lothaire's result implies that the list is finite, so yes.

[mart_r]

Originally Posted by CRGreathouse

An easier problem would use the nonnegative squares rather than the positive squares.

Where's the difference? Include zero?

[CRGreathouse]

Originally Posted by mart_r

Where's the difference? Include zero?

Sure. The list would start 0, 1, 4, 9, 25, 36, 576, 676, 665856, ...

[starrynte]

interesting...i'll work on it when i have time