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  2. Squared triangular number - Wikipedia

    en.wikipedia.org/wiki/Squared_triangular_number

    A square whose side length is a triangular number can be partitioned into squares and half-squares whose areas add to cubes. From Gulley (2010).The n th coloured region shows n squares of dimension n by n (the rectangle is 1 evenly divided square), hence the area of the n th region is n times n × n.

  3. Perfect square - Wikipedia

    en.wikipedia.org/wiki/Perfect_square

    A perfect square is an element of algebraic structure that is equal to the square of another element. Square number, a perfect square ... Perfect square trinomials, ...

  4. Square triangular number - Wikipedia

    en.wikipedia.org/wiki/Square_triangular_number

    Consequently, a square number is also triangular if and only if + is square, that is, there are numbers and such that =. This is an instance of the Pell equation x 2 − n y 2 = 1 {\displaystyle x^{2}-ny^{2}=1} with n = 8 {\displaystyle n=8} .

  5. 289 (number) - Wikipedia

    en.wikipedia.org/wiki/289_(number)

    289 is a perfect square being equal to 17². It is also the 7th number to only have 3 factors because it is a square of a prime number. 289 is the sum of perfect cubes. It is the sum of 1³+2³+4³+6³. 289 is equivalent to the sum of the first 5 whole numbers to their respective powers. It is equal to 0⁰+1¹+2²+3³+4⁴.

  6. Glossary of number theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_number_theory

    A square-free integer is an integer that is not divisible by any square other than 1. square number A square number is an integer that is the square of an integer. For example, 4 and 9 are squares, but 10 is not a square. Szpiro Szpiro's conjecture is, in a modified form, equivalent to the abc conjecture.

  7. Mark My Words: This '90s Hairstyle Is Going to Rule 2025 - AOL

    www.aol.com/mark-words-90s-hairstyle-going...

    1. The Blow Dryer and Round Brush Combo. First, apply volumizing mousse on your wet hair to hold your style. According to Iudina, you’ll want to blow dry your hair into small sections using a ...