You need to unlock a safe by typing in the correct password. All you have is the following note:



C. Goldbach

What is the password?


1 Answer 1



3389 to the number given (to get to the next multiple of a large power of ten) yields:
$$2^{80}\cdot 3^{65}\cdot 5^{83}\cdot 7^{83}\cdot 11^{87}\cdot 13^{79}\cdot 17^{82}\cdot 19^{68}$$

Translating the exponents from decimal to ASCII gives:


The title "Goldbach's safe" and name "C. Goldbach" likely refers to:

  • Goldbach's conjecture, which deals with expressing numbers as sums of two prime numbers (the large number and 3389 are both prime).
  • Goldbach's theorem and other results by Goldbach that deal with perfect powers.

  • $\begingroup$ The code to the safe could be not the word but the number that leads to it. $\endgroup$
    – Florian F
    Apr 16 at 20:16
  • $\begingroup$ @FlorianF Maybe, but the question does ask for a password and not a code... $\endgroup$ Apr 17 at 12:27

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

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