12 lines
408 B
Markdown
12 lines
408 B
Markdown
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The smallest number expressible as the sum of a prime square, prime cube, and prime fourth power is 28.
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In fact, there are exactly four numbers below fifty that can be expressed in such a way:
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~~~
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28 = 2^2 + 2^3 + 2^4
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33 = 3^2 + 2^3 + 2^4
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49 = 5^2 + 2^3 + 2^4
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47 = 2^2 + 3^3 + 2^4
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~~~
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How many numbers below fifty million can be expressed as the sum of a prime square,
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prime cube, and prime fourth power?
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