23 is the least prime greater than 17 that is the sum of four different prime numbers
By real algebra, the sum of three odd number is equal to an odd number and the sum of an even number and an odd number equals an odd number. 2 is the only prime number that is even. The rest of prime numbers are odd. Then, the next sum must satisfy the following formula:
[tex]u = 2 + x + y + z[/tex] (1)
Where [tex]x[/tex], [tex]y[/tex] and [tex]z[/tex] are prime numbers.
By direct inspection we find that 23 is the least prime greater than 17 that is the sum of four different prime numbers, which is generated at least by two combinations: (i) [tex]\{2,3,5,13\}[/tex], (ii) [tex]\{2,3,7,11\}[/tex]
We kindly invite this question on prime numbers: https://brainly.com/question/15048606
