#### Proposition #5:

#### For any perimeter __<__100 having a prime factor >10,
there is at most one integral triangle

As in the previous cases the formula for the area has been
considered.

If the perimeter is less than or equal to 100, then the semi-perimeter
is less than or equal to 50. If the prime factor is greater than
10, then it must be less than or equal to 47 by the same logic.
Due to the size of the prime number factor, there are no possible
values for a that will result in (s - a) equal to the prime factor
and still allow for values of b and c that will yield squares
and meet the triangle inequality.

Again, this is a proposition and not a proof. I suspect based
on the other patterns I observed from this exercise that as the
perimeter increases, there will be increasingly more possibilities
for integral triangles, and that this particular pattern was observed
only due to the small portion of the integers observed and the
limitations of the triangle inequality.