1998 AHSME Problems/Problem 12
From AoPSWiki
Problem
How many different prime numbers are factors of
if

Solution
Re-writing as exponents, we have
, and so forth, such that
, which only has
as a prime factor
.
See also
| 1998 AHSME (Problems) | ||
| Preceded by Problem 11 | Followed by Problem 13 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||




