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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The only prime less than a googol formed by concatenating in descending order the first n multidigit palindromic primes (case n=2). [Capelle]

+ The only anti-Yarborough prime that splits up into the smallest prime number (101) of distinct terms needed to form a numerical sequence that contains a strictly monotonic increasing (or decreasing) subsequence with another prime number (11) of terms, in accordance with the Erdos-Szekeres theorem. [Beedassy]

+ The smallest anti-Yarborough near-repunit non-palindromic prime is also the only anti-Yarborough prime that is the reverse concatenation of the prime factors of a repunit number, i.e., 1111=11*101. [Loungrides]

+ The smallest 5-digit prime formed from two primes with the same sum of digits. [Loungrides]

(There are 2 curios for this number that have not yet been approved by an editor.)

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