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  2. Power of two - Wikipedia

    en.wikipedia.org/wiki/Power_of_two

    The only known powers of 2 with all digits even are 2^1 = 2, 2^2 = 4, 2^3 = 8, 2^6 = 64 and 2^11 = 2048. [11] The first 3 powers of 2 with all but last digit odd is 2^4 = 16, 2^5 = 32 and 2^9 = 512. The next such power of 2 of form 2^n should have n of at least 6 digits.

  3. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    Also unlike addition and multiplication, exponentiation is not associative: for example, (2 3) 2 = 8 2 = 64, whereas 2 (3 2) = 2 9 = 512. Without parentheses, the conventional order of operations for serial exponentiation in superscript notation is top-down (or right -associative), not bottom-up [ 23 ] [ 24 ] [ 25 ] (or left -associative).

  4. Fourth power - Wikipedia

    en.wikipedia.org/wiki/Fourth_power

    Elkies showed that there are infinitely many other counterexamples for exponent four, some of which are: [2] 2813001 4 = 2767624 4 + 1390400 4 + 673865 4 (Allan MacLeod) 8707481 4 = 8332208 4 + 5507880 4 + 1705575 4 (D.J. Bernstein) 12197457 4 = 11289040 4 + 8282543 4 + 5870000 4 (D.J. Bernstein) 16003017 4 = 14173720 4 + 12552200 4 + 4479031 4 ...

  5. Exponential function - Wikipedia

    en.wikipedia.org/wiki/Exponential_function

    Exponential functions with bases 2 and 1/2. In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative equal to its value. . The exponential of a variable ⁠ ⁠ is denoted ⁠ ⁡ ⁠ or ⁠ ⁠, with the two notations used interchangeab

  6. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    These are the three main logarithm laws/rules/principles, [3] from which the other properties listed above can be proven. Each of these logarithm properties correspond to their respective exponent law, and their derivations/proofs will hinge on those facts. There are multiple ways to derive/prove each logarithm law – this is just one possible ...

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  8. Cynthia A. Telles - Pay Pals - The Huffington Post

    data.huffingtonpost.com/paypals/cynthia-a-telles

    From November 2010 to December 2012, if you bought shares in companies when Cynthia A. Telles joined the board, and sold them when she left, you would have a -15.7 percent return on your investment, compared to a 19.2 percent return from the S&P 500.

  9. Proof of Fermat's Last Theorem for specific exponents

    en.wikipedia.org/wiki/Proof_of_Fermat's_Last...

    Since u 2 + 3v 2 is odd, so is s. A crucial lemma shows that if s is odd and if it satisfies an equation s 3 = u 2 + 3v 2, then it can be written in terms of two integers e and f. s = e 2 + 3f 2. so that u = e(e 2 − 9f 2) v = 3f(e 2 − f 2) u and v are coprime, so e and f must be coprime, too. Since u is even and v odd, e is even and f is ...

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