Puzzles and Predicaments

[Grams]

Might make this a weekly or biweekly deal depending on everyone's interest. Use whatever resources you have to solve the puzzle. Books, Google, dickslaps, etc. Whoever presents an accurate answer gets the honor of their name up here in whatever colors they choose. Hooray.
Also, if you have one that you'd like to submit, I'll put it up as long as it's solvable and give credits.

Puzzle #1: Keyed Caesar Cipher (Solved)

Spoiler:

Keyphrase: birds

"Bjj Esfj Rbsqbp"

Solution: All Heil Caesar by: Mr Wallace

Puzzle #2: Borse Code (Solved)

Spoiler:

01101000 01110100 01110100 01110000 00111010 00101111 00101111 01101001 00101110 01101001 01101101 01100111 01110101 01110010 00101110 01100011 01101111 01101101 00101111 01100010 00110000 01101101 01101110 01100100 01010010 01001011 00101110 01110000 01101110 01100111

Solution: The Universe by: Daniël and AbsolutelyCheese

Puzzle #3: Polybius (Solved)

Spoiler:

2124214454 4423344543113314 52244423344544 1133 15?

Solution: Gadsby by: FourAcross

Puzzle #4: Numbers

42.14.34. 83.19.35.

1987, 156, 255, 1

[Will]

Spoiler:

All

Spoiler:

Heil

Spoiler:

Caesar

[Grams]

MrWallace is the first victor.

Also, new puzzle already since Will is 2cool4school. Have at ye.

[Daniël]

Spoiler:

Prufrock would dare disturb this.

Whatever that means.
Edit:

Spoiler:

Universe.

[Cheese]

Spoiler:

Translated from binary, got an image, then translated into morse and got "PRUFROCK WOULD DARE NOT DISTURB THIS."

Spoiler:

Searched it up, got the love song of J. Alfred prufrock, found the lyrics
Do I dare
Disturb the universe?

Spoiler:

Prufrock would dare not disturb the universe

[Grams]

Congrats to both of you. Your names have been inscribed for all of eternity.
Next one will probably go up this weekend sometime.

[Anton]

I have found a weird function that destroys the laws of recurrence.

Spoiler:

Code: Select all

A(x,y) =

y+1                   #if x = 0
A(x-1,1)              #if x > 0 and y = 0
A(x-1, A(x,y-1))      #if x > 0 and y > 0


A(0,0) = 1
A(1,0) = 2
A(2,0) = 3
A(3,0) = 5
A(4,0) = 13

what is A(5,0) ?


in others words, complete the list :
1, 2, 3, 5, 13, ?

[Grams]

New doo-dad. Have fun.

[Four]

Spoiler:

I decoded the puzzle to say fifty thousand without an e, then I googled that and found the novel Gadsby a fifty thousand word novel with out the letter e.

[Grams]

FA claims victory. New befuddler.

[Mori]

I don't understand what is this

[Four]

A puzzle.

Spoiler:

Samsungsds, Tpnet,Northwest Airlines Flight 255

[Grams]

yes, part of it

Spoiler:

Northwest Airlines Flight 255

no

Spoiler:

Samsungsds, Tpnet

[Four]

Ok then