Science Quiz / Number Facts

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Can you name the following numbers?

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PropertyNumberNotes
The only prime that is one less than a perfect square
The smallest square that is also the sum of two consecutive squares
The only number that is one more than a perfect square and one less than a perfect cube
The smallest number of colours needed to colour any planar map with no adjacent regions the same colour
The only prime number that is the sum of four consecutive primes
The only even prime
The greatest number of faces a regular polyhedron can have
The largest number of knights that can be placed on an empty 8x8 chessboard such that none of them can capture any other
The smallest perfect number (i.e. whose divisors add up to itself)
The only number other than zero and one that is the square of the sum of its digits
The maximal number of perfect cubes needed to sum to any positive integer
The smallest number that is both a prime cube and the sum of prime squares
The only integer of the form x^y = y^x, with x not equal to y
The smallest positive integer whose reciprocal has a pattern of more than one repeating digit
The smallest square that is also the sum of four consecutive cubes
The only number (other than zero) that is twice the sum of its digits
One of only two positive integers that cannot be written as the sum of 8 (or fewer) positive cubes (239 is the other)
The number of convex regular polyhedra
The smallest number that is both a prime cube and the sum of two distinct prime squares
The smallest number that is the product of three different primes

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