717 = 3 x 239.
717 is also a palindrome in base 2: 1011001101.
717 is the largest three-digit palindrome such that if it is raised to the sum of its digits plus the sum of its digits plus one, the result is a prime number: 717(7+1+7) + (7 + 1 + 7) + 1.
The sum of the squares of the 717 consecutive primes starting from 1847 and 6959 is in both cases palindromic: 18708380781 and 77817671877.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmCE93C-TvlalnDPCT6afnSWLJNL9nyiOvztUL-oZya_mo2eqTb7K1My5bRrufSqUNNrHKVEIyMqFhsVqDNkP6XPIGB5A0X5cJlGjObzWEGkfpcODomqr3AaZIBJkrRbwdW1WtE0hyKxo/s400/n0717.jpg)
The Boeing 717 was a twin-engine, single-aisle jet airliner for about 100 passengers.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHDFnHRMdwLMg12RQCW0SzN6ZUi1THPf8itaKDlmtZqkq9ZGwi31fuEaVtvQbhNSQdCoaCKnExUHnZUIiw2W9yYHKtOvi0W87b3OnDnReeaSfuyod4kYnnvWFanSl-vXM0dpTUkcpomZI/s400/n0717.1.jpg)
Source: Prime Curios!
717 is the largest three-digit palindrome such that if it is raised to the sum of its digits plus the sum of its digits plus one, the result is a prime number: 717(7+1+7) + (7 + 1 + 7) + 1.
The sum of the squares of the 717 consecutive primes starting from 1847 and 6959 is in both cases palindromic: 18708380781 and 77817671877.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmCE93C-TvlalnDPCT6afnSWLJNL9nyiOvztUL-oZya_mo2eqTb7K1My5bRrufSqUNNrHKVEIyMqFhsVqDNkP6XPIGB5A0X5cJlGjObzWEGkfpcODomqr3AaZIBJkrRbwdW1WtE0hyKxo/s400/n0717.jpg)
The Boeing 717 was a twin-engine, single-aisle jet airliner for about 100 passengers.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHDFnHRMdwLMg12RQCW0SzN6ZUi1THPf8itaKDlmtZqkq9ZGwi31fuEaVtvQbhNSQdCoaCKnExUHnZUIiw2W9yYHKtOvi0W87b3OnDnReeaSfuyod4kYnnvWFanSl-vXM0dpTUkcpomZI/s400/n0717.1.jpg)
Source: Prime Curios!
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