It differs around 1% equity between 56s and 57s against AA. But why is that? I guess it's because it's harder to make a straight with 57s, but why?
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Smaller the gap is, there is more possibilities how to make straight and how easy it is to do it. It´s mathematical law, I would say, I hope I´m not wrong with this mathematical saying ♦
Take it this way, you need more cards for same amount of straights as you get with less cards win no gapper.
It is more interesting to see how well the hands flop. A connector can flop 3 different open-ended straight draws, while a gapper can flop only 2. This is quite important as far as playbility goes. It is much better to flop a straight draw than a flush draw (because they are so obvious).
the easy way to think about it (without the calculations ) is that with 75 you have 3 possible straights ( 986, 864, 643 ) but with 65 you have 4 ( 987, 874, 743, 432 ) or in other words there are more combos making your straight.
For double gappers there are 2 ways only ( for ex. 74 has 653 and 865 ) and triple gapper has only 1 way ( ex. 73 has 654 )