%I A129618
%S A129618 1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,
%T A129618 31,33,34,35,36,38,39,40,42,44,46,47,48,49,50
%N A129618 A method of using three consecutive coprimes to generate numbers either 
               one away from a prime or splitting two twin primes. The sequence 
               lists the first of a group of three coprimes.
%C A129618 In 50 trials of trios of consecutive coprimes, nine failed to be within 
               one of a prime; four split twin primes; and 37 were within one of 
               a prime. The results were 37 + 2x4 = 45 prime neighbors from 50 trials. 
               Does this sequence continue to produce primes with a probability 
               greater than mere chance?
%F A129618 The first group is 1,2,3; the 2nd is 2,3,5; the 3rd is 4,5,7 and so forth 
               as the first number increases by one. Place a group of three coprimes 
               a,b and c into a^2 + b^2 + c to see how close the sum comes to a 
               prime.
%e A129618 Take 12,13,17 to yield 12^2 + 13^2 + 17 = 144+169+17=330 which
%e A129618 is one away from the prime 331.
%Y A129618 Sequence in context: A097502 A064364 A004726 this_sequence A038673 A049533 
               A052419
%Y A129618 Adjacent sequences: A129615 A129616 A129617 this_sequence A129619 A129620 
               A129621
%K A129618 nonn,uned
%O A129618 1,2
%A A129618 J. M. Bergot (thekingfishb(AT)yahoo.ca), May 30 2007