What is the 2094th prime number?
The 2094th prime number is 18269. The next prime is 18287 (a gap of 18) and the one before is 18257.
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 2094th one is 18269.
- 2
18269 is prime because no prime up to ā18269 ā 135.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2094th prime is close to 2094 Ć ln(2094) ā 16012, and here it is 18269.
- 4
18269 has no twin: neither 18267 nor 18271 is prime.
Primes around the 2094th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2091 | 18251 | 18 |
| 2092 | 18253 | 2 |
| 2093 | 18257 | 4 |
| 2094 | 18269 | 12 |
| 2095 | 18287 | 18 |
| 2096 | 18289 | 2 |
| 2097 | 18301 | 12 |
Questions
What is the 2094th prime number?
18269.
Which prime number is 18269?
18269 is the 2094th prime number.
What is the sum of the first 2094 primes?
17,951,719.