AHSME 1999 Problem 4

Find the sum of all prime numbers between $1$ and $100$ that are simultaneously $1$ greater than a multiple of $4$ and $1$ less than a multiple of $5$. $\mathrm{(A) \ } 118 \mathrm{(B) \ }137 \mathrm{(C) \ } 158 \mathrm{(D) \ } 187 \mathrm{(E) \ } 245$