What is the 2090th prime number?
The 2090th prime number is 18233. The next prime is 18251 (a gap of 18) and the one before is 18229.
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 2090th one is 18233.
- 2
18233 is prime because no prime up to ā18233 ā 135.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2090th prime is close to 2090 Ć ln(2090) ā 15978, and here it is 18233.
- 4
18233 has no twin: neither 18231 nor 18235 is prime.
Primes around the 2090th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2087 | 18217 | 6 |
| 2088 | 18223 | 6 |
| 2089 | 18229 | 6 |
| 2090 | 18233 | 4 |
| 2091 | 18251 | 18 |
| 2092 | 18253 | 2 |
| 2093 | 18257 | 4 |
Questions
What is the 2090th prime number?
18233.
Which prime number is 18233?
18233 is the 2090th prime number.
What is the sum of the first 2090 primes?
17,878,689.