Difference between revisions of "1991 AHSME Problems/Problem 17"
(Created page with "A positive integer <math>N</math> is a ''palindrome'' if the integer obtained by reversing the sequence of digits of <math>N</math> is equal to <math>N</math>. The year 1991 is t...") |
|||
| Line 6: | Line 6: | ||
How many years in the millenium between 1000 and 2000 have properties (a) and (b)? | How many years in the millenium between 1000 and 2000 have properties (a) and (b)? | ||
| + | {{MAA Notice}} | ||
Revision as of 13:53, 5 July 2013
A positive integer 
is a palindrome if the integer obtained by reversing the sequence of digits of is equal to . The year 1991 is the only year in the current century with the following 2 properties:
(a) It is a palindrome
(b) It factors as a product of a 2-digit prime palindrome and a 3-digit prime palindrome.
How many years in the millenium between 1000 and 2000 have properties (a) and (b)?
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
