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Problem (Rephrased from here):

• The radical of \$n\$, \$rad(n)\$, is the product of distinct prime factors of \$n\$. For example, \$504 = 2^3 × 3^2 × 7\$, so \$rad(504) = 2 × 3 × 7 = 42\$. We shall define the triplet of positive integers \$(a, b, c)\$ to be an abc-hit if:
• \$GCD(a, b) = GCD(a, c) = GCD(b, c) = 1\$
• \$a < b\$
• \$a + b = c\$
• \$rad(abc) < c\$

If \$(a,b,c)\$ is an abc-hit such that \$c<120000\$, Find sum of all \$c\$.

Problem (Rephrased from here):

• The radical of \$n\$, \$rad(n)\$, is the product of distinct prime factors of \$n\$. For example, \$504 = 2^3 × 3^2 × 7\$, so \$rad(504) = 2 × 3 × 7 = 42\$.

We shall define the triplet of positive integers \$(a, b, c)\$ to be an abc-hit if:

• \$GCD(a, b) = GCD(a, c) = GCD(b, c) = 1\$
• \$a < b\$
• \$a + b = c\$
• \$rad(abc) < c\$

If \$(a,b,c)\$ is an abc-hit such that \$c<120000\$, Find sum of all \$c\$.

Problem (Rephrased from here):

 

• The radical of \$n\$, \$rad(n)\$, is the product of distinct prime factors of \$n\$. For example, \$504 = 2^3 × 3^2 × 7\$, so \$rad(504) = 2 × 3 × 7 = 42\$.

We shall define the triplet of positive integers \$(a, b, c)\$ to be an abc-hit if:

• \$GCD(a, b) = GCD(a, c) = GCD(b, c) = 1\$
• \$a < b\$
• \$a + b = c\$
• \$rad(abc) < c\$

 

If \$(a,b,c)\$ is an abc-hit such that \$c<120000\$, Find sum of all \$c\$.

Problem (Rephrased from here):

• The radical of \$n\$, \$rad(n)\$, is the product of distinct prime factors of \$n\$. For example, \$504 = 2^3 × 3^2 × 7\$, so \$rad(504) = 2 × 3 × 7 = 42\$. We shall define the triplet of positive integers \$(a, b, c)\$ to be an abc-hit if:
• \$GCD(a, b) = GCD(a, c) = GCD(b, c) = 1\$
• \$a < b\$
• \$a + b = c\$
• \$rad(abc) < c\$

If \$(a,b,c)\$ is an abc-hit such that \$c<120000\$, Find sum of all \$c\$.