# 1049

This number is a prime. The smallest prime containing all of the square digits exactly once. [Gupta] The smallest member of the first triplet composed of three successive primes (1049, 1051, and 1061) that is never prime in any smaller base b, 2 ≤ b < 10, when expansions are interpreted as decimal numbers. [De Geest] Phil Appleby of the United Kingdom achieved the highest competitive game score of 1049 in Scrabble on June 25, 1989 (according to the Guinness Book of World Records). [Patterson] The smallest prime formed from three distinct semiprimes. [Silva] An Eisenstein-Mersenne prime concatenated from the square digits. [Post] Smallest square-digit prime whose square (1049^2 = 1100401) contains only square digits. [Gupta] The smallest in the first case of five consecutive primes that are all super-2 primes, (1049, 1051, 1061, 1063, 1069). [Loungrides] 1049 and 1051 are the smallest pair of consecutive primes whose reversals have the same highest prime factor (7*17*79=9401 and 19*79=1501). Are there three or more consecutive primes with this property? [Gaydos] The smallest Honaker prime to contain all of the square digits only. [Bajpai]

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