Assume that the consecutive numbers are: x, x+1, x+2, x+3
Then:
x + x+1 + x+2 + x+3 = 1000
4x + 6 = 1000
4x = 1000 - 6 = 994
x = 248.5
The numbers are: 248.5, 249.5, 250.5, 251.5
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The four consecutive prime numbers that add up to 220 are: 47+53+59+61 = 220
The numbers are 51, 52, 53 and 54.
47, 53, 59, 61
47, 53, 59, 61
I am not sure if any two consecutive numbers can add up to an even number.