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Math Help - word problem

  1. #1
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    word problem

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  2. #2
    Lord of certain Rings
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    I claim 103138 divides that number for all positive integer values of n.

    This is done by observing that a-b divides a^n - b^n and then rearranging the given number into sums of such differences.

    For example,

    278 = 2141-1863 and -278 = 1492 - 1770

    Thus 278|2141^n -1863^n + 1492^n - 1770^n

    Similarly 371 = 2141 - 1770 and -371 = 1492 - 1863

    Thus 371|2141^n -1863^n + 1492^n - 1770^n

    Since (371,278) = 1

    (371)(278) = 103138|2141^n -1863^n + 1492^n - 1770^n
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Isomorphism View Post
    I claim 103138 divides that number for all positive integer values of n.
    So the year 103,138 is the end of the world???

    On second thought, I'm not going to worry about that too much.

    -Dan
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  4. #4
    Lord of certain Rings
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    Quote Originally Posted by topsquark View Post
    So the year 103,138 is the end of the world???

    On second thought, I'm not going to worry about that too much.

    -Dan
    According to the article that means this fact will be discovered on April 1,103138. Which means at least until then we have no End of the World
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  5. #5
    Super Member angel.white's Avatar
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    You don't have to solicit help on this forum, most people are more than happy to answer questions, even if they aren't winning a date with a "hot gal" and even if it doesn't prove they're a "REAL GENIUS"
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