97

This number is a prime.

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(97, 101, 103) is the larger of the only two known cases of successive primes p < q < r such that p|(2q*2r + 1), i.e., 97 divides ((2*101)*(2*103) + 1). The smaller such case is (3, 5, 7). [Jha]

The smallest prime that is the arithmetic mean of the first n invertible primes: ((19+61+109+199)/4). [Jha]