2357

This number is a prime.

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The larger of only two primes less than a googol formed from the concatenation in order of first n consecutive primes, (case n=4). The previous is 23 for n=2. [Loungrides]

(2, 3, 5, 7) is the only set consisting of four consecutive primes, such that the sum of any three of them minus the other is a prime. [Loungrides]

The only 4-digit prime whose the square begins with four identical digits, i.e., 2357^2 = 5555449. [Loungrides]