Quinteron anyone?
Wednesday, November 30th, 2011
- My son was born on the 17th of November.
- That can’t be true!
- Why not?
- 17.11.
- Yes?
- What’s their difference? What’s their sum?
- 6 and 28.
- Exactly!
- Exactly what?
- 6 and 28 are the first two perfect numbers.
- Perfect in what sense?
- The divisors of 6 less than 6 are 1, 2, and 3 and their sum is 6. And the divisors of 28 less than 28 is 1, 2, 4, 7, and 14 and their sum is 28.
- Amazing!
-Can you find an odd perfect number?
- I have never tried, but I am sure I could if I put my mind to it.
- Good for you!
- What else?
- A number is quinteron if the sum of its divisors less than it is 5 times the number.
- 5 is quinteron!
- Excellent! Are there more?
- Let me think!
Problem source: Estímulo del Talento Matemático.







