tarunesh2009 tarunesh2009
  • 24-12-2019
  • Mathematics
contestada

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

Respuesta :

sam4040
sam4040 sam4040
  • 31-12-2019

Answer:

[tex]17[/tex]

Step-by-step explanation:

[tex]1+8+8=17\\1^3+2^3+2^3=17[/tex]

Answer Link
fakeindian73 fakeindian73
  • 15-06-2020

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

Answer Link

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