1151

This number is a prime.

+ Thirteenth century Persian mathematician Kamal al-Din Abu'l Hasan Muhammad ibn al-Hasan al-Farisi used a number of lemmas including an application of the Sieve of Eratosthenes to show that 1151 is prime.

+ Western explorers discovered that the Molucca Islands (also called the Spice Islands) are the source of cloves in 1151.

+ The smallest emirp of the form p=q^4+R(q^4), case q=5. [Loungrides]

+ Obtained from half the average of the two known Wieferich primes. [Gudipati]

+ The smallest number that is the sum of consecutive primes in four ways. [Gudipati]

+ The smallest emirp that can be expressed as sum of a prime and its reversal and as a square and its reversal, i.e., 1151=229+922=625+526. [Loungrides]

+ The sum of first four smallest n-digit triangular numbers: 1 + 10 + 105 + 1035 = 1151. [Bajpai]

+ The smallest prime p such that p + next prime(p) is an integer with ten prime factors, repetitions counted, i.e., 1151 + 1153 = 2304 = 2^8*3^2. [Rivera]

+ 1151^83 and 1151^89 each has a sum of digits of 1151. Note the consecutive prime powers. [Gaydos]

(There is one curio for this number that has not yet been approved by an editor.)

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