Answered this yesterday... Top: 3-17-7, middle 13-9-5, bottom 11-1-15
There are 8: the squares of 2 to 9, inclusive.
The squares make a diagonal line.123456789101112112345678910111222468101214161820222433691215182124273033364481216202428323640444855101520253035404550556066121824303642485460667277142128354249566370778488162432404856647280889699182736455463728190991081010203040506070809010011012011112233445566778899110121132121224364860728496108120132144
The horizontal, vertical and diagonal numbers will all be the same sum when added together.
Difference between the sum of the squares and the square of the sums of n numbers?Read more:Difference_between_the_sum_of_the_squares_and_the_square_of_the_sums_of_n_numbers
1 = 12 < 2 < 22 = 4 and 144 = 122 < 145 < 132 = 169 So the squares of 2 to 12 (inclusive) are in the specified interval. So there are 11 perfect squares between 2 and 145.
There are 8: the squares of 2 to 9, inclusive.
Top row: 3-17-7 Middle row: 13-9-5 Bottom row: 11-1-15
Infinitely many. There are a 100 perfect squares.
The squares make a diagonal line.123456789101112112345678910111222468101214161820222433691215182124273033364481216202428323640444855101520253035404550556066121824303642485460667277142128354249566370778488162432404856647280889699182736455463728190991081010203040506070809010011012011112233445566778899110121132121224364860728496108120132144
Infinitely many, since every positive number is a square of some other number. However, there are 21 perfect squares (SQUARES OF INTEGERS). From 112 to 312, inclusive.
The horizontal, vertical and diagonal numbers will all be the same sum when added together.
There are an infinite amount of numbers that that have squares between 10 and 65
sqrt(2000) = 44.7sqrt(20000) = 141.4So the perfect squares between 2000 and 20000 are the squares of 45 to 141 (inclusive)ie there are 97 perfect squares in the interval.
300
Difference between the sum of the squares and the square of the sums of n numbers?Read more:Difference_between_the_sum_of_the_squares_and_the_square_of_the_sums_of_n_numbers
There are two prime numbers with squares between 100 and 300. These prime numbers are 11 and 13. (112 = 121 and 132 = 169.)
Three numbers.