# 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.)