Perfect numbers: Difference between revisions
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=={{header|Axiom}}== |
=={{header|Axiom}}== |
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{{trans|Mathematica}} |
{{trans|Mathematica}} |
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Using the interpreter, we can define the function: |
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Custom function: |
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<lang Axiom>perfect?(n:Integer):Boolean == reduce(+,divisors n) = 2*n</lang> |
<lang Axiom>perfect?(n:Integer):Boolean == reduce(+,divisors n) = 2*n</lang> |
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Alternatively, using the Spad compiler: |
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<lang Axiom>)abbrev package TESTP TestPackage |
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TestPackage() : with |
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perfect?: Integer -> Boolean |
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== |
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add |
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import IntegerNumberTheoryFunctions |
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perfect? n == reduce("+",divisors n) = 2*n</lang> |
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Examples (testing 496, testing 128, finding all perfect numbers in 1...10000): |
Examples (testing 496, testing 128, finding all perfect numbers in 1...10000): |
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<lang Axiom>perfect? 496 |
<lang Axiom>perfect? 496 |