107 (number)

107 is the 28th prime number. The next prime is 109, with which it comprises a twin prime, making 107 a Chen prime.{{Cite web|url=https://oeis.org/A109611|title=Sloane's A109611 : Chen primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}

Plugged into the expression $2^p\; -\; 1$, 107 yields 162259276829213363391578010288127, a Mersenne prime.{{Cite web|url=https://oeis.org/A000043|title=Sloane's A000043 : Mersenne exponents|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}} 107 is itself a safe prime.{{Cite web|url=https://oeis.org/A005385|title=Sloane's A005385 : Safe primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}

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.{{Cite web|url=https://oeis.org/A060843|title=Sloane's A060843 : Busy Beaver problem: number of steps before halting|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2021-09-24}}

It is the number of triangle-free graphs on 7 vertices.{{cite OEIS|A006785|Number of triangle-free graphs on n vertices}}

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

107 is also:

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

• 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.

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Category:Integers