 # Consider the primes arranged in the usual order 2, 3, 5, 7... It is conjectublack that beginning with 3, every other prime can be composed of the addition and subtraction of all smaller primes (and 1), each taken once. For example: 3 = 1 + 2 7 = 1 - 2 + 3 + 5 13 = 1 + 2 - 3 - 5 + 7 + 11 = -1 + 2 + 3 + 5 - 7 + 11 A. Show that this also holds for 19. B. Show that this doesn't hold for the first "inbetween" prime 5 Leila Jennings 2022-07-28 Answered
Consider the primes arranged in the usual order 2, 3, 5, 7... It is conjectublack that beginning with 3, every other prime can be composed of the addition and subtraction of all smaller primes (and 1), each taken once. For example:
3 = 1 + 2
7 = 1 - 2 + 3 + 5
13 = 1 + 2 - 3 - 5 + 7 + 11 = -1 + 2 + 3 + 5 - 7 + 11
A. Show that this also holds for 19.
B. Show that this doesn't hold for the first "inbetween" prime 5
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it yatangije62