Prime Cell Phone Numbers: Oddity or Probability?

In summary: Asymptotically, almost all numbers are composite and almost all numbers cannot be expressed as the sum of two squares. But, trivially, all squares can be expressed as the sum of two squares, so it's just a question... of probability... of how likely it is for a number to be prime.I checked my number but it's not a prime, however it has four independent Pythagorean triples.
  • #36
When did I say I was in Canada?

I've aleady mentioned in the Member Photo Thread that the lake behind me was Lake Coeur d'Alene... in Idaho.
 
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  • #37
CRGreathouse said:
I have that number already -- 404204977. But I don't have the number that excludes area codes starting with 1, certain numbers with connection 555, etc.
Ah yes, good point.
"Square" is surely used in its number theory sense here, as Kajahtava suggests.
Even better point.
 
  • #38
Char. Limit said:
When did I say I was in Canada?

I've aleady mentioned in the Member Photo Thread that the lake behind me was Lake Coeur d'Alene... in Idaho.
If you don't remember I'm not going to remind you.





;-p
 
  • #39
Don't forget also, all numbers with the fourth through sixth digits "911" have to mostly cancel as well...
 
  • #40
CRGreathouse said:
May 11th, July 13th, November 5th, or November 17th, then.
Yup, November 5th is right. That's also the smallest sexy prime pair.
 
  • #41
Char. Limit said:
Don't forget also, all numbers with the fourth through sixth digits "911" have to mostly cancel as well...

I hadn't thought of that -- I wonder if this means the number I gave was too high, or if that rule is subsumed in another.

Vasara said:
Yup, November 5th is right. That's also the smallest sexy prime pair.

The 5th of November? Ominous.
 

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