1
$\begingroup$

This is very much inspired by this question.

Take the first 26 primes and relate each one to a letter of the alphabet.
On this occasion, you may choose how each number is mapped to each letter (so, for example we may have A=67, B=31, etc) but each letter must be mapped to a distinct prime.
The score of a word is the product of the primes corresponding to the letters (so if we mapped A=31, L=3 then the score of ALL is 31x3x3 = 279)

What is the longest word which scores at most 1,000,000 for some mapping?

| improve this question | |
$\endgroup$
  • $\begingroup$ when you say 1000000, is it the sum / product / concatenate of the numbers; If i map the the letter A to 2 and L to 3, do "ALL" = 233, 18 or 8? $\endgroup$ – Alex Nov 12 '19 at 17:42
  • 1
    $\begingroup$ @Alex My apologies, I've edited to include the scoring of a word. It follows the same rule as the linked question. $\endgroup$ – hexomino Nov 12 '19 at 17:45
  • $\begingroup$ Thanks hexomino, so the only difference from the Origin question is that you can freely assign the letters to the primes $\endgroup$ – Alex Nov 12 '19 at 17:54
  • $\begingroup$ @Alex yes, that's right. $\endgroup$ – hexomino Nov 12 '19 at 18:00
  • $\begingroup$ What counts as a word, exactly? (Which dictionary?) $\endgroup$ – Deusovi♦ Nov 12 '19 at 18:42
5
$\begingroup$

Perhaps not best, but it has to be close:

senselessness (13 letters)
s=2, e=3, n=5, l=7
2^6 * 3^4 * 5^2 * 7 = 907,200

| improve this answer | |
$\endgroup$
  • 2
    $\begingroup$ Computerized search of a dictionary of ~120k commonish words doesn't find anything better. [EDITED to add:] Or anything else equally good. $\endgroup$ – Gareth McCaughan♦ Nov 12 '19 at 20:47
  • $\begingroup$ Great answer, this is also what I found and, like Gareth, no words match it. I will refrain from green-ticking for a little while, just in case, but I'm pretty sure this is the best that can be done. $\endgroup$ – hexomino Nov 12 '19 at 23:07
0
$\begingroup$

Partial answer:

Mississippi

assignment:

m = 7
i = 2
s = 3
p = 5

result:

product = 75600 length = 11

| improve this answer | |
$\endgroup$

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.