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Shares genetics with Conan Obrien, soooo Irish

I actually found an interesting pattern that include sets of 3. To give you an example, the first three sets of number is 2,5,8 and the next three is 11, 14, 17; so when we sum the individual numbers we get 2 for 11, 5 for 14 and 8 for 17, similarly for the next three numbers 20, 23,26 the sums we get is, again 2,5,8. And interestingly the next three sums that is 11,5,8 would continue for next three sets of numbers such as for 29,32,35 and 38,41,44 and 48,50,53. This pattern continuous and similarly for the next three sets of numbers the individual sums would be 11,14,8 And what's even more bizarre is the fact that the original set of numbers that is 2,5,8 ;it remains intact i.e the sum of the individual numbers (of the sums) 11,5,8 gives 2,5,8,and that of 11,14,17 gives,again 2,5,8. After the last set of 3 numbers before 100(i.e 92,95,98) we have 101,104,107 and guess what the sums are 2,5,8 again!!!! I mean this is awesome.....!!!

No such integer exist

i made a program to solve this for me and it crashed X(

Spoiler alert: the "secret sauce" is math competitions!

All these links -- and other ideas besides -- are available at wescarroll.com/amc. Good luck!

Learn more about these competitions at wescarroll.com/amc.