# 1019

This number is a prime. The 20th century musical Damn Yankees had a successful run of 1019 performances. [Williams] The smallest number with a period length more than 1000 digits. [Pimentel] π(e^(π(e^π)) = π(e^π(23.14...)) = π(e^9) = π(8103.08...) = 1019 is prime. [Kulsha] prime(n) = reversal(phi(n)) and is the only number with this property. [Firoozbakht] The sum of the squares of the first three Mersenne primes. [Silva] The smallest prime such that its cube (1058089859) is equal to the sum of a prime and its reversal, i.e., 297594067 + 760495792. [Rivera] The largest prime that can be represented as the sum of n consecutive double-digit primes, (case n=19), i.e., 17+19+23+...+83+89+97. [Loungrides] The smallest invertible prime of the form 4n^2+4n+59. The lesser term in the first twin prime pair (p, q) such that p#+1 and q#+1 are both primes. [Loungrides] 2^n+3^(n-2) is prime, where n = 1019. [Erdol] The smallest invertible prime such that when spelled out in English (one thousand nineteen) contains the number of letters (19) that is another invertible prime. [Bajpai]

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