Prime Curios!: 1097

1097
(another Prime Pages' Curiosity)

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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]

(There is one curio for this number that has not yet been approved by an editor.)