Primes above a thousand
Number Theory
Level
3
Suppose be the sum of the first three prime numbers greater than 1000. Which combination of the statement(s) is/are true?
- is a prime number.
1 and 3 only
3 only
1 and 2 only
2 only
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1 solution
One can find that the first three prime numbers exceeding 1000 as 1009, 1013 and 1019. Sum of these is 3041and it is prime and it is greater than 3040. So, choice 1 and 3 are correct.