Problems & Puzzles: Puzzles

Puzzle 543.- Primes as sum of powered consecutive primes

83 = 11+13+17+19+23 = 3^2+5^2+7^2

503 = 163+167+173 = 2^3+3^3+5^3+7^3

Q1. Find the smallest prime that is sum of consecutive primes to powers: 2 & 3

Q2.  Find the smallest prime that is sum of consecutive primes to powers 1, 2 &3