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Norma-Jean [14]
3 years ago
9

What is the smallest two-digit prime that is the sum of three (not necessarily distinct) positive perfect cubes?

Mathematics
2 answers:
love history [14]3 years ago
6 0

Answer:

17

Step-by-step explanation:

1+8+8=17\\1^3+2^3+2^3=17

MA_775_DIABLO [31]3 years ago
3 0

Answer:

17

Step-by-step explanation:

We begin by listing the smallest positive perfect cubes with two digits or fewer:

1, 8, 27, 64.

And now we sum them. 1+1+1 is too small; 1+1+8=10 which is not prime; but 1+8+8=17, which is indeed a prime. Hence the answer is 17

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