What is the 2092nd prime number?
The 2092nd prime number is 18253. The next prime is 18257 (a gap of 4) and the one before is 18251.
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 2092nd one is 18253.
- 2
18253 is prime because no prime up to ā18253 ā 135.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2092nd prime is close to 2092 Ć ln(2092) ā 15995, and here it is 18253.
- 4
18253 is a twin prime: 18251 and 18253 are both prime.
Primes around the 2092nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2089 | 18229 | 6 |
| 2090 | 18233 | 4 |
| 2091 | 18251 | 18 |
| 2092 | 18253 | 2 |
| 2093 | 18257 | 4 |
| 2094 | 18269 | 12 |
| 2095 | 18287 | 18 |
Questions
What is the 2092nd prime number?
18253.
Which prime number is 18253?
18253 is the 2092nd prime number.
What is the sum of the first 2092 primes?
17,915,193.