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The conjecture is that the sum of the first n positive even integers equals $n(n+1)$. Symbolically, it is expressed as $2 + 4 + 6$ + ... + $2n = n(n+1)$.

Conditions: n is a natural number.; The left side is the sum of consecutive even integers starting from 2.

The conjecture is that the sum of the first n positive even integers equals $n(n+1)$. Symbolically, it is expressed as $2 + 4 + 6$ + ... + $2n = n(n+1)$.

Conditions: n is a natural number.; The left side is the sum of consecutive even integers starting from 2.