Dear math gurus!!!

I am not a mathematician, but only a dilettante, nevertheless the number theory is an unique area of math, where amateurs can create problems as good as professionals.

I tried myself to solve this problem and found that there are unlimited number of triads of consecutive abundant numbers. My prove is the elementary one, it uses some arithmetic knowledge and very beginning of the group theory. It is a constructive proof and the algorithm can create triads of consecutive abundant numbers, but the numbers are enormously large. If you want I can publish my proof. But idea of the proof is very limited and it can not be expanded to x, x+1, x+2, x+3 and longer number sequences.

Good luck, thanks a lot, Lev from Russia