Let thr consecutive number be , N-1 , N & N+1
Hence Adding
N-1 + N + N +1 = 75
3N = 75 ( NB THE '1' add to zero).
N = 75 / 3
n = 25
So N-1 = 24
N = 25
N + 1 = 26
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That doesn't work. The number has to be divisible by three. Any three consecutive numbers add up to a multiple of three.
The smallest is 55.
Any two consecutive numbers must comprise one odd and one even number, so their product must be even. Any three consecutive numbers must include two consecutive numbers so the result still applies.
Their sum is three times the middle number.
As the number 1 is considered a special case and not a prime, there cannot be three consecutive numbers that are prime. Any three consecutive numbers must include at least one even number. With the exception of the number 2, no even numbers are prime.