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Shortest Long Number (Posted on 2004-04-15) Difficulty: 3 of 5
What is the smallest positive integer that cannot be defined in less than twenty-five syllables?

See The Solution Submitted by Sam    
Rating: 3.0833 (12 votes)

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re: Tentative solution | Comment 7 of 49 |
(In reply to Tentative solution by Penny)

The idea of defining a number in a minimal number of syllables is odd.  I had thought of Penny's answer, as well as the smaller number


which also has 25 syllables.  However, these numbers can be defined in fewer syllables:

77,777,777=80,000,000-222,223 (20 syllables)


17,777,777=18,000,000-222,223 (also 20 syllables)

Since we want a number that cannot be defined with less than 25 syllables, these don't work.  I submitt that


works.  It is initially 31 syllables and subtracting from 18 billion gives 28 syllables.  However there may be a tricky way to express this with less than 25 syllables, and there are probably lower numbers which could work without the syllabalic overkill. 

  Posted by stan on 2004-04-15 15:15:22
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