Showing posts with label set. Show all posts
Showing posts with label set. Show all posts

Sunday, February 26, 2012

Exclusionary Numbers

So I've been looking into a pattern regarding the addition of prime numbers, where n is the number of consecutive primes in the series (2 always being the first prime in the series), with n=3 being the lowest term in the series, represented by [2,3,5]. A range can be created when multiplying n by 2 and n by the largest prime. In this case, 6-15. There are numbers inside this series that cannot be reached by adding up n members of the nth series. For example, 14 is the only number that cannot be reached for n=3 (I call these "exclusionary numbers"). The following are the exclusionary numbers up through n=10: