What is the 2097th prime number?
The 2097th prime number is 18301. The next prime is 18307 (a gap of 6) and the one before is 18289.
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 2097th one is 18301.
- 2
18301 is prime because no prime up to ā18301 ā 135.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2097th prime is close to 2097 Ć ln(2097) ā 16038, and here it is 18301.
- 4
18301 has no twin: neither 18299 nor 18303 is prime.
Primes around the 2097th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2094 | 18269 | 12 |
| 2095 | 18287 | 18 |
| 2096 | 18289 | 2 |
| 2097 | 18301 | 12 |
| 2098 | 18307 | 6 |
| 2099 | 18311 | 4 |
| 2100 | 18313 | 2 |
Questions
What is the 2097th prime number?
18301.
Which prime number is 18301?
18301 is the 2097th prime number.
What is the sum of the first 2097 primes?
18,006,596.