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  2. Fourth power - Wikipedia

    en.wikipedia.org/wiki/Fourth_power

    Fermat knew that a fourth power cannot be the sum of two other fourth powers (the n = 4 case of Fermat's Last Theorem; see Fermat's right triangle theorem). Euler conjectured that a fourth power cannot be written as the sum of three fourth powers, but 200 years later, in 1986, this was disproven by Elkies with: 20615673 4 = 18796760 4 ...

  3. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power.Exponentiation is written as b n, where b is the base and n is the power; often said as "b to the power n ". [1]

  4. Base (exponentiation) - Wikipedia

    en.wikipedia.org/wiki/Base_(exponentiation)

    For example, the fourth power of 10 is 10,000 because 10 4 = 10 × 10 × 10 × 10 = 10,000. The term power strictly refers to the entire expression, but is sometimes used to refer to the exponent. Radix is the traditional term for base , but usually refers then to one of the common bases: decimal (10), binary (2), hexadecimal (16), or ...

  5. Euler's sum of powers conjecture - Wikipedia

    en.wikipedia.org/wiki/Euler's_sum_of_powers...

    Euler was aware of the equality 59 4 + 158 4 = 133 4 + 134 4 involving sums of four fourth powers; this, however, is not a counterexample because no term is isolated on one side of the equation. He also provided a complete solution to the four cubes problem as in Plato's number 3 3 + 4 3 + 5 3 = 6 3 or the taxicab number 1729.

  6. Tetration - Wikipedia

    en.wikipedia.org/wiki/Tetration

    The term hyperpower [4] is a natural combination of hyper and power, which aptly describes tetration. The problem lies in the meaning of hyper with respect to the hyperoperation sequence. When considering hyperoperations, the term hyper refers to all ranks, and the term super refers to rank 4, or tetration.

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    Novo Nordisk’s latest attempt in weight loss, a combination drug called CagriSema, matched the bar set by Lilly’s currently approved medicine, Zepbound, but didn’t cleanly surpass it in late ...

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