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Can you write every integer as the sum of two nonzero perfect squares?
No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
What are all the perfect numbers from 1-100?
101
What are all of the perfect square numbers from 1-1500?
1501
What do the perfect squares have in common?
All their roots are whole numbers.
What are all of the perfect numbers through 100?
6 and 28
Are no perfect squares whole numbers?
By definition, ALL perfect squares are whole numbers!
Is 31 a perfect number?
No. The only perfect numbers less than 100 are 6 and 28. All known perfect numbers are even - it is unknown whether there are odd perfect numbers.
What are all numbers with an even amount of factors?
All compound numbers that are not perfect squares.
What are all the perfect numbers less than 100?
The perfect numbers less than 100 are 6 and 28.
Can you write every integer as the sum of two nonzero perfect squares?
No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
Are perfect squares all rational numbers?
Yes.
What are all the perfect numbers from 1-100?
101
What are all of the perfect square numbers from 1-1500?
1501
What do the perfect squares have in common?
All their roots are whole numbers.
What are all of the perfect numbers through 100?
6 and 28
List all the perfect numbers less than 50?
A perfect number is a positive integer that is equal to the sum of its proper divisors (excluding itself). The first four perfect numbers are 6, 28, 496, and 8128. These are the only known perfect numbers less than 50. Perfect numbers are rare and have special properties in number theory.
Do all numbers have an even number of factors?
No. Perfect square numbers have an odd number of factors.
