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Anton Geraschenko
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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, and 13 respectively.

Magician gives original integer by Chinese Remainder Theorem.

Works because 3x7x11=1001×ばつ13=1001.

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.

Audience asked to choose an integer from 0 to 1000. Ask to give remainder when divided by 7, 11, and 13 respectively.

Magician gives original integer by Chinese Remainder Theorem.

Works because ×ばつ13=1001.

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user2529
user2529

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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