What is the 2133rd prime number?
The 2133rd prime number is 18679. The next prime is 18691 (a gap of 12) and the one before is 18671.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2133rd one is 18679.
- 2
18679 is prime because no prime up to ā18679 ā 136.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2133rd prime is close to 2133 Ć ln(2133) ā 16350, and here it is 18679.
- 4
18679 has no twin: neither 18677 nor 18681 is prime.
Primes around the 2133rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2130 | 18637 | 20 |
| 2131 | 18661 | 24 |
| 2132 | 18671 | 10 |
| 2133 | 18679 | 8 |
| 2134 | 18691 | 12 |
| 2135 | 18701 | 10 |
| 2136 | 18713 | 12 |
Questions
What is the 2133rd prime number?
18679.
Which prime number is 18679?
18679 is the 2133rd prime number.
What is the sum of the first 2133 primes?
18,671,688.