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The number appears in the Padovan sequence, preceded by 86, 114, 151 (it is the sum of the first two of these). [1] The sum of Euler's totient function φ(x) over the first twenty-five integers is 200. 200 is the smallest base 10 unprimeable number – it cannot be turned into a prime number by changing just one of its digits to any other digit.
The puzzle follows a number of conventions, both for tradition's sake and to aid solvers in completing the crossword: Nearly all the Times crossword grids have rotational symmetry: they can be rotated 180 degrees and remain identical. Rarely, puzzles with only vertical or horizontal symmetry can be found; yet rarer are asymmetrical puzzles ...
A non-negative integer is a square number when its square root is again an integer. For example, =, so 9 is a square number. A positive integer that has no square divisors except 1 is called square-free. For a non-negative integer n, the n th square number is n 2, with 0 2 = 0 being the zeroth one. The concept of square can be extended to some ...
An American-style 15×15 crossword grid layout. A crossword (or crossword puzzle) is a word game consisting of a grid of black and white squares, into which solvers enter words or phrases ("entries") crossing each other horizontally ("across") and vertically ("down") according to a set of clues. Each white square is typically filled with one ...
But here, the context is the set of integers. If you consider that you should not have an implicit context, then the term perfect square is also ambiguous, because it is also used for non-integers, like here, where 102.01 is regarded as a perfect square because (10.1)² = 102.01 exactly. See also the footnote saying: "Some authors also call ...
The measure is the number of times one's name has appeared in The New York Times crossword puzzle as either a clue or solution. Arguably, this number should only be calculated for the Shortz era (1993–present). Shortz himself is 1 Shortz famous. [citation needed]
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The square of an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often generalized to polynomials, other expressions, or values in systems of mathematical values other than the numbers. For instance, the square of the linear polynomial x + 1 is the quadratic polynomial (x + 1) 2 = x 2 ...