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64: 49: 48: 33 The order 8 square is interesting in itself since it is an instance of the most-perfect magic square. ... coining the words pandiagonal square and most ...
64 is: the smallest number with exactly seven divisors, [3] the first whole number (greater than one) that is both a perfect square, and a perfect cube, [4] the lowest positive power of two that is not adjacent to either a Mersenne prime or a Fermat prime, the fourth superperfect number — a number such that σ(σ(n)) = 2n, [5]
Square number 16 as sum of gnomons. In mathematics, a square number or perfect square is an integer that is the square of an integer; [1] in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3 2 and can be written as 3 × 3.
As a result, there is a one-to-one correspondence between Mersenne primes and even perfect numbers, so a list of one can be converted into a list of the other. [ 1 ] [ 5 ] [ 6 ] It is currently an open problem whether there are infinitely many Mersenne primes and even perfect numbers.
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself. [1] For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28.
49 89 489 889 4889 8889 48889 88889 n odd: 5 ... 64 413 + + n even with exactly 3 prime factors 1 3 ... , or else it is a perfect square = , in which case n ...
(The Center Square) – A new report indicates Wisconsin will have a surplus of $4.3 billion at the end of the fiscal year, more than the nearly $4 billion previously estimated.
A most-perfect magic square of order n is a magic square containing the numbers 1 to n 2 with two additional properties: Each 2 × 2 subsquare sums to 2 s , where s = n 2 + 1. All pairs of integers distant n /2 along a (major) diagonal sum to s .