What is the 2091st prime number?
The 2091st prime number is 18251. The next prime is 18253 (a gap of 2) and the one before is 18233.
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 2091st one is 18251.
- 2
18251 is prime because no prime up to ā18251 ā 135.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2091st prime is close to 2091 Ć ln(2091) ā 15987, and here it is 18251.
- 4
18251 is a twin prime: 18251 and 18253 are both prime.
Primes around the 2091st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2088 | 18223 | 6 |
| 2089 | 18229 | 6 |
| 2090 | 18233 | 4 |
| 2091 | 18251 | 18 |
| 2092 | 18253 | 2 |
| 2093 | 18257 | 4 |
| 2094 | 18269 | 12 |
Questions
What is the 2091st prime number?
18251.
Which prime number is 18251?
18251 is the 2091st prime number.
What is the sum of the first 2091 primes?
17,896,940.