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deltapi / abc-feedback

Collection of bugs and Feedback regarding the abc triple search on https://abc.tngtech.com
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rad(a) and rad(b) aren't matching #15

Open KaustubhRakhade opened 3 years ago

KaustubhRakhade commented 3 years ago

I got the following triples:

We found 4 triples for 5 ≦ rad(a) < 6, 1469 ≦ rad(b) < 1470! Here you go: 41956109 + 7450580596881872016 = 7450580596923828000, q=1.028706398237478 1220703125 + 5869879296 = 7090582421, q=1.0133163055126206 1198308429149 + 11919730646648976 = 11920928955078124, q=1.0480510157345506 3814697265625 + 59458809309000024 = 59462624006265650, q=1.0558435799905064

We know that for rad(a) to be 5, a has to be of form 5^n. But, neither 41956109 nor 7450580596881872016 is of that form. Infact, rad(41956109) = 1469 & rad(7450580596881872016) = 301691796116046

Forgive me if I'm missing something.

deltapi commented 3 years ago

Hi, thank you. In fact, this is also a display issue I wanted to fix. It is meant that the smallest radicals in {a, b, c} are in between the bounds. If you look at the prime factorization of c=7450580596923828125 in this case, it is 5^26. Sorry for the confusion in the frontend.