It's my birthday today, 5/13! Below are some of my role models. Can you tell me when their birthdays are?
You know what I really want for my birthday? Probably a pair of
Women’s UA PIP® Micro G® Pulse Running Shoes!
****Not part of the puzzle: Let me know if the shoes don't exist in your region of the world. ****
I hope they're not sold out! Could you check for me? nudge wink
The answer to the puzzle is a single word. EDIT: the word may have nothing whatsoever to do with the context of the puzzle.
Sorry if the puzzle is too hard. Certain types of people will be extremely advantaged in this puzzle. This is my first puzzle of this kind; I was unsure what to tag it.
The length of the sequences is irrelevant. They could have gone on much longer, but I arbitrarily ended them when I thought there was enough information.
Google is allowed and most likely extremely necessary.
Hint 1 (edited, no spoilers):
Look at the title. Also, the order the sequences appear in is important.
Hint 2 (no spoilers):
The first sequence is (subjectively) the easiest. If you solve that one, you will have a clear path to solving the others. Again, a very specific certain set of people will find this much easier.
Hint 3 (spoilers but probably necessary):
If $c=0$, then the numbers $10,1,3,1$ respectively, could be useful. You might want to become friends with a certain device that can't unlock anything despite its many keys.
Hint 4 (edited, spoilers):
The shoes give an seven digit number to manipulate the eight letter sequence you just found.
Wow, the answer is a really cool word! It's the __.