Substitute each of the letters with a different base ten digit from 0 to 9. Each of the asterisks denote a digit, whether same or different. None of the numbers can contain a leading zero.

NEVO + NONE = OV*V and, OVEN – V*OO = E*O* where, each of NEVO and OVEN is a prime number.

Note: For an extra challenge, solve this puzzle without using a computer program.