this name already includes the generation right in the beginning as in "11th Gen Intel Core i5-11400F" or "13th Gen Intel Core i5-1345U." But other times, it doesn't say the generation outright ...

For example, Core i5 processors from 2008 have the same brand ... is. One handy tip for Intel's legacy 'i' range is to check the generation of processor, which updates each year, and reached its 13th ...