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Square number. 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 32 and can be written as 3 × 3 .
For example, 3 is a Mersenne prime as it is a prime number and is expressible as 22 − 1. [ 1][ 2] The numbers p corresponding to Mersenne primes must themselves be prime, although not all primes p lead to Mersenne primes—for example, 211 − 1 = 2047 = 23 × 89. [ 3] Meanwhile, perfect numbers are natural numbers that equal the sum of their ...
Print/export Download as PDF; ... A perfect square is an element of algebraic structure that is equal to the square of another element. Square number, a perfect ...
Ulam spiral. Ulam spiral of size 201×201. Black dots represent prime numbers. Diagonal, vertical, and horizontal lines with a high density of prime numbers are clearly visible. For comparison, a spiral with random odd numbers colored black (at the same density of primes in a 200x200 spiral). The Ulam spiral or prime spiral is a graphical ...
A perfect power has a common divisor m > 1 for all multiplicities (it is of the form a m for some a > 1 and m > 1). The first: 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 81, 100 (sequence A001597 in the OEIS). 1 is sometimes included. A powerful number (also called squareful) has multiplicity above 1 for all prime
Print/export Download as PDF; Printable version; In other projects ... Primes p for which p − 1 divides the square of the product of all earlier terms. 2, 3, 5, 7, ...
the indian numerals. A most-perfect magic square of order n is a magic square containing the numbers 1 to n2 with two additional properties: Each 2 × 2 subsquare sums to 2 s, where s = n2 + 1. All pairs of integers distant n /2 along a (major) diagonal sum to s.
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.