Abstract
Let
P1, P2 … Px
be the first natural primes in order so that p1 = 2, p2 = 3, etc
Then Scherk's theorems are:
THEOREM I. If n is even, pn can be obtained by the addition and subtraction of all the smaller primes and unity, each taken once, eg.,
p8=- 19 = 1 + 2 + 3 + 5 - 7 + 11 - 13 + 17.