## Mon Oct 17 11:56:58 EEST 2011

### $abc$ triples

Got two lucky numbers from the math lottery.
High merit $abc$ triples related to the $abc$ conjecture $$11^{30}+3^{15} \cdot 13^{2} \cdot 19^{2} \cdot 41 \cdot 137 \cdot 233^{2} \cdot 44203^{2} \cdot 4758269=2^{54} \cdot 5^{8} \cdot 7^{2} \cdot 43^{4} \cdot 1451^{2}$$ $$2^{29} \cdot 5^{4} \cdot 7 \cdot 11^{15} \cdot 43^{2} \cdot 1451 + 13^{4} \cdot 44203^{4} \cdot 4758269^{2} = 3^{30} \cdot 19^{4} \cdot 41^{2} \cdot 137^{2} \cdot 233^{4}$$ Merits $24.2$ and $24.21$

Posted by joro | Permanent link