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# 1019

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]

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]