Audience asked to choose an integer from 0 to 1000. Ask to give remainder when divided by 3, 7, and 11, and 13 respectively.
Magician gives original integer by Chinese Remainder Theorem.
Works because 3x7x11=1001.7×11×13=1001.
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Audience asked to choose an integer from 0 to 1000. Ask to give remainder when divided by 3, 7, and 11 respectively. Magician gives original integer by Chinese Remainder Theorem. Works because 3x7x11=1001. |
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