top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

12345 can be expressed as summation of two prime numbers in only one way. What is the value of the larger prime number?

0 votes
822 views
12345 can be expressed as summation of two prime numbers in only one way. What is the value of the larger prime number?
posted Jun 30, 2017 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

+1 vote

The answer is 12343. All primes except 2 are odd and since 12345 is expressed here as the sum of two prime numbers, 1 of the 2 numbers has to be even ( Because Even + Odd = Odd and Odd + Odd = Even ) and the only even prime is 2 so naturally the other prime is 12345 - 2 = 12343.

answer Jun 30, 2017 by Tejas Naik



Similar Puzzles
0 votes
If 1/x - 1/y = - 29 and the value of (x +12xy - y) / (x - 6xy -y) can be expressed as m/n, where m and n are co prime...

If 1/x - 1/y = - 29 and the value of (x +12xy - y) / (x - 6xy -y) can be expressed as m/n, where m and n are co prime positive integers.
The value of m + n = ?

0 votes
Prime number 31 can be expressed in the form n^5 -1, with n=2. Are there other primes that can be expressed this way?

Prime number 31 can be expressed in the form n^5 -1, where n=2. Are there any other primes that can be expressed this way?

0 votes
Find largest possible value of N, such that N! can be expressed as the product of (N-4) consecutive positive integers?

Find the largest possible value of positive integer N, such that N! can be expressed as the product of (N-4) consecutive positive integers?

+1 vote
Find the sum of all the prime numbers larger than 2 less than 10^12 that are 1 more than a perfect square.

Find the sum of all the prime numbers larger than 2 less than 10^12 that are 1 more than a perfect square. Because the number can get pretty big provide the answer mod 1007.

Note: Problem shouldn't take much more than one minute if your answer is taking too long consider looking for optimizations.

...