1699
This number is a prime.
The largest prime that cannot be expressed as the sum of at most five distinct squared composite numbers.
There are 1699 positive integers between 1 and twice 1699 that contain at least one 1. [Meller]
The smallest invertible prime that is the sum of three distinct Fibonacci primes, i.e., 1699 = 13 + 89 + 1597. [Honaker]
(There is one curio for this number that has not yet been approved by an editor.)
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