1097

This number is a prime.

+ The largest known number such that (17^n - 5^n)/12 is prime. [Russo]

+ The smallest prime (emirp) that is separated from the smallest prime by ten iterations of the Euler phi function: 1097 --> 1096 --> 544 --> 256 --> 128 --> 64 --> 32 --> 16 --> 8 --> 4 --> 2. [Beedassy]

+ The smallest balanced emirp such that its nearest primes above and below, i.e., 1091 and 1103, are also emirps. [Silva]

+ Andy Rooney's video essays for 60 Minutes (some 1,097 in all) were both mundane and meaningful. [Post]

+ The first of six consecutive emirps in the sequence of distinct-digit primes, i.e., 1097, 1237, 1249, 1259, 1279, 1283. [Loungrides]

(There are 9 curios for this number that have not yet been approved by an editor.)

Printed from the PrimePages <t5k.org> © G. L. Honaker and Chris K. Caldwell