Math Is Fun Forum

It appreciates being addressed by unsaid name.

Yup, I mean, is it a function or what kind of function is it?

What type(s) of function(s) would it be? I assume it is a power function and an exponential function.

Very true. I guess if I represent it as

y = |x|^[1-|x|]  from x=-5 to 0

It looks more simple and orderly

The idea of a placeholder makes sense.
Objects counted any other way would still be just as numerical. The numerical quality itself perhaps comes with objects being physical. There might be 1 x 10^80 atoms in the physical universe ... it's an intrinsic quality/principle of the universe, we might say?

Here's one that increases it another ten-fold... 131^[5131/21852] ≈ 3.141592653555866563449102187233485139443062510610029...

Sorry about that. Each triple (2013 to 2015, 1885 to 1887 and 2665 to 2667) has numbers with exactly three distinct prime factors each.

Interesting that 2013 is composed of four sequential digits: 0, 1, 2 and 3. That hasn't happened since 1432... 581 years ago!

True, it might be erroneous but it's worth claiming just for the inspiration!

I believe so. Otherwise, I suppose there's a way to stuff in a bunch of small 2^2's and 3^2's to fill in the gaps...  Can't use any 2^1's though... I believe that's cheat'n

Anyone know how John Chew came up with this statement:

"2013 is the smallest number that is at least six added or subtracted squares of prime numbers."

in his webpage article, "How is 2013 interesting? Let us count the ways"?