Using the algebraic expression ! − + 11, we see the following: For=1, weget ! −+11=1! −1+11=11,whichisaprimenumber. For=2, weget ! −+11=2! −2+11=13,whichisaprimenumber. For=3, weget ! −+11=3! −3+11=17,whichisaprimenumber.
Therefore, the formula ! − + 11 will produce a prime number for all natural numbers = 1, 2, 3, 4, ... Inductive or Deductive (circle one).