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8 March, 02:32

The sum of the first 1 million primes is N. Without knowing N's value, one can determine that the ones'digit of N cannot be

a. 1

b. 2

c. 3

d. 9

+3
Answers (1)
  1. 8 March, 04:22
    0
    All primes are odd, except two. Therefore the sum of the first million primes is one even number plus 999999 odd numbers. Since odd*odd = odd, the first million primes must be even + odd = odd.

    An odd number obviously has an odd final digit, so the only option that can be firmly rules out is b (which is even).
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