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This puzzle was posted at www.mathpuzzle.com:
| This week's puzzle comes from Juha Saukkola, who helped me tremendously with my Leaper's page. 3x37=111, 4*25=100, 6*185=1110, 1999*5502751375687899=11000000000000110101. Is any integer n a perfect divisor of a larger integer N which consists entirely of ones and zeroes? If so, prove it ( Send Proof). Rick Heylen has calculated n = 1 to 2000. Does anyone see any patterns or revalations? |
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