67 (sixty-seven) is the natural number following 66 and preceding 68. It is an odd and prime number.
In mathematics
67 is:
- the 19th prime number (the next is 71).
- a Chen prime.[1]
- an irregular prime.[2]
- a lucky prime.[3]
- the sum of five consecutive primes (7 + 11 + 13 + 17 + 19).
- a Heegner number.[4]
- a Pillai prime since 18! + 1 is divisible by 67, but 67 is not one more than a multiple of 18.[5]
- palindromic in quinary (2325) and senary (1516).
- a super-prime. (19 is prime)
- an isolated prime. (65 and 69 are not prime)
- a sexy prime with 61 and 73
References
- ^ "Sloane's A109611: Chen primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-01-08.
- ^ "Sloane's A000928 : Irregular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ "Sloane's A031157 : Numbers that are both lucky and prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ "Sloane's A003173 : Heegner numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ "Sloane's A063980 : Pillai primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
External links
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