3557
This number is a prime.
A prime obtained by concatenating the least two pairs of twin primes. [Necula]
The only 4-digit prime-digit prime starting with a double-digit brilliant number, (35) and followed by its prime factors. [Loungrides]
10^3.557 is greater than 3557, and 3557 is the smallest prime with such property. [Leonardis]
(There are 3 curios for this number that have not yet been approved by an editor.)
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