The only palindromic prime number with an even number of digits is 11. Show this. (Hint: Show that 11 divides every palindrome with an even number of digits. You may use the fact that 11 divides any number of the form $10^{2n-1} + 1$.)
Added by Alexander G.
Close
Step 1
For example, 121 and 1221 are palindromic numbers. Show more…
Show all steps
Your feedback will help us improve your experience
Piyush Kumar Gupta and 64 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Piyush Kumar G.
(Palindromic prime) A palindromic prime is a prime number that is also palindromic. For example, 131 is a prime and also a palindromic prime, as are 313 and $757 .$ Write a program that displays the first 100 palindromic prime numbers. Display 10 numbers per line and align the numbers properly, as follows: \[\begin{array}{rrrrrrrrr}2 & 3 & 5 & 7 & 11 & 101 & 131 & 151 & 181 & 191 \\ 313 & 353 & 373 & 383 & 727 & 757 & 787 & 797 & 919 & 929\end{array}\]
A palindromic prime is a prime number that is also a palindrome. For example, 131 is a prime and also a palindromic prime, as are 313 and 757. Write a program that displays the first 120 palindromic prime numbers. Display 10 numbers per line, separated by exactly one space, as follows: 2 3 5 7 11 101 131 151 181 191 313 353 373 383 727 757 787 797 919 929.
Liam H.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD