100 (another Prime Pages' Curiosity)
 Curios: Curios Search:   Participate: The first 3 primes add to 10 and the first 32 primes add to 102 = 100. [Moody] The first century (xx00 to xx99) with no prime is 1671800 to 1671899. [Howell] 2100 * 1002 + 1 is prime. [Kulsha] The sum of the fourth powers of all the primes less than 100 is prime. [Patterson] 100*2^213 - 1 is prime. Note that 213*2^100 - 1 is also prime. This is the smallest pair of three-digit numbers with such property. [Opao] (nth prime)!/n! + 1 is prime, where n = 100. [Firoozbakht] 100 is the smallest perfect square whose summation of the differences between itself and each of its digits, where each difference is raised to the power of the corresponding digit, is equal to a prime number, i.e., (100-1)^1 + (100-0)^0 + (100-0)^0 is prime. [Opao] 100! plus the 101st prime is prime. [Mojdeh] 100^99 plus a hundred 9s is prime. [Silva] The smallest perfect square that is the sum of first primes. [Silva] The number of primes with distinct digits in ascending order. [Capelle] τ(100*107) = 100. [Wesolowski] The largest natural number n equal to the sum of primes smaller or equal to (n). [Capelle] The smallest number whose common logarithm is a prime number. [Gudipati] (There are 8 curios for this number that have not yet been approved by an editor.)   To link to this page use http://primes.utm.edu/curios/page.php?number_id=510 Prime Curios! © 1999-2013 (all rights reserved)