
Re: Triple Prime.
Posted:
Jun 18, 1996 2:05 AM


In article <4pkpd3$2vp@netmanmel.dfci.harvard.edu> gotd@jimmy.harvard.edu (Godfrey Degamo) writes: >Hello. I have a 'mathisfun' book and I have solved all the starred >problems in the current chapter, but an 'easy' one is the most difficult! >Strange.
>Please give me a hint (solution not necessary unless I go crazy ;) to >the following math problem found in a 'mathisfun' book. And, no, >this isn't homework.
>A triple prime is a 3 consecutive odd numbers all prime.
>Prove that {3, 5, 7} is the only triple prime.
>Thanks.
>Godfrey Degamo, > gotd@jimmy.harvard.edu
Hint: one of {x, x+2, x+4} is divisible by 3.
But: For me are primes {x, x+2, x+6} and {x, x+4, x+6} triple primes, e.g. {11, 13, 17}. And quadrupel primes are {x, x+2, x+6, x+8} like {11, 13, 17, 19} or {101,103,107,109}.
Ingo Dittmer

