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Babbage problem: Difference between revisions

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[[File:Babbage.jpg|300px230px||right|Charles Babbage]]
 
[[File:Babbage engine.jpg|400px230px||right|Charles Babbage's analytical engine.]]
 
[[wp:Charles_Babbage|Charles Babbage]], looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: what is the smallest positive integer whose square ends in the digits 269,696? (Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, <i>Electronic Computers</i>, second edition, 1970, p. 125.) He thought the answer might be 99,736, whose square is 9,947,269,696; but he couldn't be certain.
 
 
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For these purposes, Charles Babbage may be taken to be an intelligent person, familiar with mathematics and with the idea of a computer, who has never programmed—in fact, who has never so much as seen a single line of code.
 
 
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