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  2. Wheat and chessboard problem - Wikipedia

    en.wikipedia.org/wiki/Wheat_and_chessboard_problem

    When expressed as exponents, the geometric series is: 2 0 + 2 1 + 2 2 + 2 3 + ... and so forth, up to 2 63. The base of each exponentiation, "2", expresses the doubling at each square, while the exponents represent the position of each square (0 for the first square, 1 for the second, and so on.). The number of grains is the 64th Mersenne number.

  3. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    Namely, an attacker observing the sequence of squarings and multiplications can (partially) recover the exponent involved in the computation. This is a problem if the exponent should remain secret, as with many public-key cryptosystems. A technique called "Montgomery's ladder" [2] addresses this concern.

  4. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    First, you have to understand the problem. [2] After understanding, make a plan. [3] Carry out the plan. [4] Look back on your work. [5] How could it be better? If this technique fails, Pólya advises: [6] "If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?"

  5. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    Exponentiation is an arithmetic operation in which a number, known as the base, is raised to the power of another number, known as the exponent. The result of this operation is called the power. Exponentiation is sometimes expressed using the symbol ^ but the more common way is to write the exponent in superscript right after the

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

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

    Fermat's Last Theorem states that no three positive integers (a, b, c) can satisfy the equation a n + b n = c n for any integer value of n greater than 2. (For n equal to 1, the equation is a linear equation and has a solution for every possible a and b.

  7. Long Island woman, 51, killed after cab driver crashes car ...

    www.aol.com/long-island-woman-51-killed...

    The crash sent the taxi careening onto the sidewalk, where the vehicle hit the 51-year-old woman and two men, 44 and 49. The woman was “pinned” against a fence by the vehicle, a police source said

  8. Musk's SpaceX preparing to launch tender offer in Dec at $135 ...

    www.aol.com/news/musks-spacex-preparing-launch...

    By Krystal Hu and Kenrick Cai (Reuters) -Elon Musk's SpaceX is preparing to launch a tender offer in December to sell existing shares at a price of $135 per share, two sources familiar with the ...

  9. Health insurance premiums in America could rise to ‘highest ...

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    5 minutes could get you up to $2M in life insurance coverage — with no medical exam or blood test. 5 ways to boost your net worth now — easily up your money game without altering your day-to ...

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