Unknown number
An unknown number is divisible by exactly three different primes. When we compare these primes in ascending order, the following applies:
• Difference between the first and second prime numbers is half the difference between the third and second prime numbers.
• The product of the difference between the second with the first primes
and the difference between the third and the second prime number is a multiple of 17.
Determine the smallest number that has all the above properties.
• Difference between the first and second prime numbers is half the difference between the third and second prime numbers.
• The product of the difference between the second with the first primes
and the difference between the third and the second prime number is a multiple of 17.
Determine the smallest number that has all the above properties.
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