14
$\begingroup$

A professor has written a note to help him remember his password. I'm sure you can find out what it is. After all, he's very functional.

$\text{4,24 AOPCRTLIFA}$
$\text{10,5 RAVHLE}$
$\text{0,1 SIOEICN}$
$\text{3,27 BEUMC}$
$\text{54,18 ETEITNTO}$
$\text{100,2 LHOIGAMCTR}$
$\text{16,4 UOATRSROOEQ}$
$\text{0,-1/2 UATZE}$
$\text{6,18 IELPRNT}$
$\text{140,12 MSGTAI}$

$\text{My password:}$
$\text{41,2,72,21,12,42,2,71,25,6,2,39}$

$\endgroup$
10
$\begingroup$

The answer is

MATHEMATICAL

Here's how to find it.

Each set of letters anagram a mathematical function that can be applied to the first number to produce the second. (I actually didn't realize the relationship between the number until I had found most of them by recognizing near-anagrams).
4,24 FACTORIAL + P
10,5 HALVE + R
1,0 COSINE + I
3,27 CUBE + M
54,18 TOTIENT + E
100,2 LOGARITHM + C
16,4 SQUARE ROOT + O
0,-1/2 ZETA + U
6,18 TRIPLE + N
140,12 SIGMA + T

From here,

The extra letters spell "PRIME COUNT". Applying the prime count function (number of primes $\leq n$) to each number gives $12, 0, 19, 7, 4, 12, 0, 19, 8, 2, 0, 11,$ which as alphabet letters spells MATHEMATICAL.

$\endgroup$
  • $\begingroup$ Great puzzle! The whole process felt smooth and justified. I like the recursive step to get the final answer. I have some really nitpicky nitpicks. Since the ordering of the letters to anagram is arbritary (unless I'm missing something), convention is to write them alphabetically. I'd find a 1-indexed alphabet a bit more natural than 0-indexed. Commas are a bit weird to represent functions, though maybe $a \to b$ would be a giveaway, but if so the final clue should avoid commas and be space-separated. $\endgroup$ – xnor Apr 15 '15 at 8:30
  • $\begingroup$ To my knowlege, the last 'sub-puzzle' is one indexed, not zero indexed (?). Take 2. The number of primes <= 2 is one, so 2 -> 1 -> 'A'. But you're right, in that the solution phrase should probably not be separated by commas, and you also picked that I tried not to use -> to avoid giving the game away too early. $\endgroup$ – Tryth Apr 15 '15 at 8:37
  • $\begingroup$ @Tryth My mistake, it was indeed one-indexed. $\endgroup$ – xnor Apr 15 '15 at 8:39
  • $\begingroup$ @xnor : 100,2 LOGARMITH + C should be LOGARITHM $\endgroup$ – Tim Couwelier Apr 15 '15 at 13:24
  • $\begingroup$ LOGARITHM -> ALGORITHM $\endgroup$ – Joe Z. Apr 16 '15 at 0:22

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.