Does there exist a , b , c , d such that a + b + c + d 4 is an integer?Let a , b , c , d are different positive integers, such that a,b,c, nor d is a multiple of a different variable.Question:Does there exist a , b , c , d for a + b + c + d 4 = I such that I is an integer?

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Does there exist   a  ,  b  ,  c  ,  d such that             a      +      b      +      c      +      d        4   is an integer?Let   a  ,  b  ,  c  ,  d are different positive integers, such that a,b,c, nor d is a multiple of a different variable.Question:Does there exist    a  ,  b  ,  c  ,  d for              a      +      b      +      c      +      d        4    =  I  such that I is an integer?

Halle Mckee · Accepted Answer

One way is to find two primes that are 1 mod 4 and two primes which are 3 mod 4.For instance, 5,7,11,13.

Sufirk6u38 · Accepted Answer

Just make them all one more than a multiple of 4; for example    (  a  ,  b  ,  c  ,  d  )  =  (  5  ,  9  ,  13  ,  17  ). This isn&#039;t the only way, but it&#039;s certainly one way.

Does there exist a , b , c , d such that a +

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