What is the 2095th prime number?
The 2095th prime number is 18287. The next prime is 18289 (a gap of 2) and the one before is 18269.
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 2095th one is 18287.
- 2
18287 is prime because no prime up to ā18287 ā 135.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2095th prime is close to 2095 Ć ln(2095) ā 16021, and here it is 18287.
- 4
18287 is a twin prime: 18287 and 18289 are both prime.
Primes around the 2095th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2092 | 18253 | 2 |
| 2093 | 18257 | 4 |
| 2094 | 18269 | 12 |
| 2095 | 18287 | 18 |
| 2096 | 18289 | 2 |
| 2097 | 18301 | 12 |
| 2098 | 18307 | 6 |
Questions
What is the 2095th prime number?
18287.
Which prime number is 18287?
18287 is the 2095th prime number.
What is the sum of the first 2095 primes?
17,970,006.