# 3137

This number is a prime. Delete any digit of 3137 and it will remain prime. [Blanchette] The smallest four-digit prime that is comprised of two consecutive primes concatenated. [Patterson] The largest prime such that each substring is a prime or 1. [Capelle] The only prime formed from the ordered concatenated of two 2-digit successive emirps, i.e., 31, 37, so that the ordered concatenation of their reversals, i.e., 1373, is also prime. [Loungrides] 3137 is the sum of 31 consecutive primes whose first two are 31 and 37. [Silva] The smallest Honaker prime that is one more than a perfect square. [Gudipati] The larger of only two primes of form n^2+1 concatenated from two consecutive double-digit primes, i.e., 3137=56^2+1. The other is 2917 = 54^2+1. [Loungrides] The only Honaker prime concatenated from two double-digit emirps. [Loungrides] The smallest of only three right-truncatable primes formed by concatenating two double-digit emirps. The other are 3797 and 7331. [Loungrides]

(There are 4 curios for this number that have not yet been approved by an editor.)