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A365583
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Numbers k with property that k can be represented by the digits present in k using the operations specified in the comment, and requiring fewer digits than the number of digits in k.
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0
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1024, 1253, 1287, 1296, 1331, 2048, 2163, 2187, 2435, 2500, 2564, 2568, 2916, 3025, 3125, 3216, 3375, 3437, 3645, 3729, 4088, 4096, 4256, 4375, 4625, 5129, 5243, 6250, 6254, 7128, 7293, 7343, 7776, 8256, 9025, 9216, 9375, 9512, 10003, 10004
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OFFSET
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1,1
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COMMENTS
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The only operations allowed are addition, subtraction, multiplication, division, exponentiation, parenthesizing, and concatenation.
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LINKS
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EXAMPLE
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For k = 3125, k can be represented as 5^5, using only 2 digits, which is less than the length of k, 4.
For k = 3437, k can be represented as (7^3)||7, using only 3 digits which is less than the length of k, 4.
For k = 10003, k can be represented as ((1||0)^3)||3, using only 4 digits, which is less than the length of k, 5.
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PROG
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(Python) # See Robinson link.
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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