Is there a performance difference between BETWEEN and IN with MySQL or in SQL in general?

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I have a set of consecutive rows I want to get based upon their primary key, which is an auto-incrementing integer. Assuming that there are no holes, is there any performance between between:

SELECT * FROM `theTable` WHERE `id` IN (n, ... nk); 

and:

SELECT * FROM `theTable` WHERE `id` BETWEEN n AND nk;
4 Answers

In many database servers, IN() is just a synonym for multiple OR clauses, because the two are logically equivalent. Not so in MySQL, which sorts the values in the IN() list and uses a fast binary search to see whether a value is in the list. This is O(Log n) in the size of the list, whereas an equivalent series of OR clauses is O(n) in the size of the list (i.e., much slower for large lists)

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