What is the 2089th prime number?
The 2089th prime number is 18229. The next prime is 18233 (a gap of 4) and the one before is 18223.
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 2089th one is 18229.
- 2
18229 is prime because no prime up to ā18229 ā 135.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2089th prime is close to 2089 Ć ln(2089) ā 15969, and here it is 18229.
- 4
18229 has no twin: neither 18227 nor 18231 is prime.
Primes around the 2089th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2086 | 18211 | 12 |
| 2087 | 18217 | 6 |
| 2088 | 18223 | 6 |
| 2089 | 18229 | 6 |
| 2090 | 18233 | 4 |
| 2091 | 18251 | 18 |
| 2092 | 18253 | 2 |
Questions
What is the 2089th prime number?
18229.
Which prime number is 18229?
18229 is the 2089th prime number.
What is the sum of the first 2089 primes?
17,860,456.