I'm 21 now!
 

Well, that was three days ago. :P

The cool thing is that my age is now the product of the first two Mersenne primes! :D

[QUOTE=ixfd64;89105]Well, that was three days ago. :P

The cool thing is that my age is now the product of the first two Mersenne primes! :D[/QUOTE]

... which are the digits of my age! :cool:

[QUOTE=alpertron;89108]... which are the digits of my age! :cool:[/QUOTE]I didn't realise you were 73. You're probably the oldest person here! :wink:

My age is the square of a Mersenne prime, and I'm not unusually precocious.


Paul

When you get to my age you will understand the answer to life, the universe and everything.

[QUOTE=ixfd64;89105]I'm 21 now![/QUOTE]Congratulations !
I'm 48 since yesterday Friday 13th. Half of my life :wink: . But I bet I've already lived the best half yet.
Enjoy this preriod of your life !
BTW, I'm not sure California is the best place to live long and happy: stress, pollution, too-fat and too-sweety meals, ... Your opinion ?
Tony

[quote=Flatlander;89127]When you get to my age you will understand the answer to life, the universe and everything.[/quote]That's easy: 42.

My age is the only triangular number whose square root is also a triangular number.

[QUOTE=Xyzzy;89138]My age is the only triangular number whose square root is also a triangular number.[/QUOTE]I flatly refuse to believe you are only one year old.

Paul

How embarassing! I wonder how I should reword this? Let me go think for a while.

:poop:


[SIZE=1][I]Edit #1: My age is the largest triangular number whose square root is also a triangular number? Crap, I'm in over my head now!

Edit #2: Well, if mental ability, bowel control and hairiness are indicators of age, I may well be 1!
[/I][/SIZE]

[QUOTE=Xyzzy;89138]My age is the only triangular number whose square root is also a triangular number.[/QUOTE]
How do you prove that 1 and 36 (and zero if you choose to admit it as a triangle number) are the only numbers with this property?

I was able to show there are an infinite number of triangle numbers that are perfect squares - I was even able to generate them via a recurrance relationship. But how do you prove that none except these early ones are squares of triangle numbers?

[quote=wblipp;89179]How do you prove that 1 and 36 (and zero if you choose to admit it as a triangle number) are the only numbers with this property?

I was able to show there are an infinite number of triangle numbers that are perfect squares - I was even able to generate them via a recurrance relationship. But how do you prove that none except these early ones are squares of triangle numbers?[/quote]Because it's his age? Unless he's over 170 (that's up to where I checked the triangle number's sq roots), or is 1 year old and is somehow able to type and understand what triangle numbers and square roots are, he's 36.

And no, I don't know if 1 and 36 are the only triangle numbers with that property (in fact, due to numbers being infinite, I would think that there are likely many more), but they're the only ones with that property that are possible (with current medical technology, of course) to be an age.