cipher - The Twenty Doors! (ROOM 5)

This is part of The Twenty Doors series.
The previous one is The Twenty Doors (ROOM 4)

The next one is The Twenty Doors! (ROOM 6)

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You go through into room five. There is a standard keyboard, and, of course, the paper:

Pidi ou nto seeob r thf ruusnei yeivboae f t .eoqo vrs rwlmdthuih rrlweyoei

You can just make out the carving into the wall. Kwei sdoa c etfcbeqs zvcd, ukl ghcds'u lwkweivkxu hd. E uvhdcdf hkoza-kqwi ifsdt!                                                                                                                                                               There are eight-million, four-hundred and ninety-six thousand, three-hundred and twenty-one pies.

What is the word that you should enter?

HINT 1:

The wall carving is actually a hint to the paper. You don't necessarily need to solve the wall carving in order to know the puzzle. If you do want to, however, know that the bit about a large number of pies is only important to decrypting that unimportant cipher. So, spend most of your time on the paper, for decrypting that will give you a word.

HINT 2: This is what is written on the wall carving, don't read if you want to work it out yourself.

Much like a skipping rope, the paper's cipher be. I skipped fifty-four times!

The next door will be added when this door is solved!

Answer

I am not particularly proud that I had to use the second hint, but using that I deciphered this.

The paper uses a skip cipher and the skip value is 54. Using this skip value and decoding the paper gives us

Skip has a prime factor that cleanly divides into the text length, so it can not be used.

54 has two factors, 2 and 3 (54 = 2¹3³) and the text length is 75. So we cannot use 3.

So I think, to unlock the door, we need to key in the word

TWO