What is the 2096th prime number?
The 2096th prime number is 18289. The next prime is 18301 (a gap of 12) and the one before is 18287.
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 2096th one is 18289.
- 2
18289 is prime because no prime up to ā18289 ā 135.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2096th prime is close to 2096 Ć ln(2096) ā 16030, and here it is 18289.
- 4
18289 is a twin prime: 18287 and 18289 are both prime.
Primes around the 2096th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2093 | 18257 | 4 |
| 2094 | 18269 | 12 |
| 2095 | 18287 | 18 |
| 2096 | 18289 | 2 |
| 2097 | 18301 | 12 |
| 2098 | 18307 | 6 |
| 2099 | 18311 | 4 |
Questions
What is the 2096th prime number?
18289.
Which prime number is 18289?
18289 is the 2096th prime number.
What is the sum of the first 2096 primes?
17,988,295.