107 (number)

In mathematics

107 is the 28th prime number. The next prime is 109, with which it comprises a twin prime, making 107 a Chen prime.

Plugged into the expression 2^p - 1, 107 yields 162259276829213363391578010288127, a Mersenne prime. 107 is itself a safe prime.

It is the fourth Busy beaver number, the maximum number of steps that any Turing machine with 2 symbols and 4 states can make before eventually halting.

It is the number of triangle-free graphs on 7 vertices.

It is the ninth emirp, because reversing its digits gives another prime number (701)

In other fields

107 is also:

• The emergency telephone number in Argentina and Cape Town.
• The telephone of the police in Hungary.

In sports

• The 107% rule, a Formula One Sporting Regulation in operation from 1996 to 2002 and 2011 onward.
• The number 107 is also associated with the Timbers Army supporters group of the Portland Timbers soccer team, in reference to the stadium seating section where the group originally congregated.

References

References

1. "Sloane's A109611 : Chen primes". OEIS Foundation.
2. "Sloane's A000043 : Mersenne exponents". OEIS Foundation.
3. "Sloane's A005385 : Safe primes". OEIS Foundation.
4. "Sloane's A060843 : Busy Beaver problem: number of steps before halting". OEIS Foundation.
5. {{cite OEIS. A006785. Number of triangle-free graphs on n vertices