sentences:  Chinese hypothesis
  
  In number theory, the Chinese hypothesis is a disproven conjecture stating that an integer "n" is prime if and only if it satisfies the condition that formula_1 is divisible by "n"—in other words, that integer "n" is prime if and only if formula_2.It is true that if "n" is prime, then formula_2 (this is a special case of Fermat's little theorem).