all numbers are unique
some more than others
my favorite number is the number 2
first prime number and only even prime
do you have a special number?
maybe from a movie, a book or something historical?

Proof: Let's say that not all positive integer numbers is interesting.
This means that there is at least one integer that is not interesting. Then there must be especially one integer that is the lowest non-interesting integer. A integer with this property is therefore interesting having this special unique property.
This reasoning can be applied again. And again. And as there are infinitely many positive integers, then we can apply this reasoning forever. Meaning that the initial proposition has a contradiction.

Therefore - all positive integer numbers are interesting! Q.E.D.

Originally posted by FabianFnas Every positive integer number is interesting!

Proof: Let's say that not all positive integer numbers is interesting.
This means that there is at least one integer that is not interesting. Then there must be especially one integer that is the lowest non-interesting integer. A integer with this property is therefore interesting having this special uniqu ...[text shortened]... osition has a contradiction.

Therefore - all positive integer numbers are interesting! Q.E.D.

I like numbers that have connections to historical figures like the taxi cab number 1729

Originally posted by lemondrop all numbers are unique
some more than others
my favorite number is the number 2
first prime number and only even prime
do you have a special number?
maybe from a movie, a book or something historical?

Originally posted by FabianFnas Every positive integer number is interesting!

Proof: Let's say that not all positive integer numbers is interesting.
This means that there is at least one integer that is not interesting. Then there must be especially one integer that is the lowest non-interesting integer. A integer with this property is therefore interesting having this special uniqu ...[text shortened]... osition has a contradiction.

Therefore - all positive integer numbers are interesting! Q.E.D.

Isnt this like the condemned man paradox?

A judge tells a condemned prisoner that he will be hanged at noon on one
weekday in the following week but that the execution will be a surprise to the
prisoner. He will not know the day of the hanging until the executioner knocks
on his cell door at noon that day.

The prisoner realises he cannot possibly be hung on the Friday.
And with similar logic rules out Thursday, then Wednesday, then Tuesday, then Monday.

Originally posted by wolfgang59 Isnt this like the condemned man paradox?

A judge tells a condemned prisoner that he will be hanged at noon on one
weekday in the following week but that the execution will be a surprise to the
prisoner. He will not know the day of the hanging until the executioner knocks
on his cell door at noon that day.

The prisoner realises he cannot po ...[text shortened]... sday, then Wednesday, then Tuesday, then Monday.

To his surprise he is hung on Wednesday!

Yes, it is, isn't it?

The very number 5098456784564587943987643 isn't interesting if there are another 438743 interesting numbers that is less than the beforementioned one.