What is the 3084th prime number?
The 3084th prime number is 28309. The next prime is 28319 (a gap of 10) and the one before is 28307.
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 3084th one is 28309.
- 2
28309 is prime because no prime up to ā28309 ā 168.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3084th prime is close to 3084 Ć ln(3084) ā 24777, and here it is 28309.
- 4
28309 is a twin prime: 28307 and 28309 are both prime.
Primes around the 3084th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3081 | 28289 | 6 |
| 3082 | 28297 | 8 |
| 3083 | 28307 | 10 |
| 3084 | 28309 | 2 |
| 3085 | 28319 | 10 |
| 3086 | 28349 | 30 |
| 3087 | 28351 | 2 |
Questions
What is the 3084th prime number?
28309.
Which prime number is 28309?
28309 is the 3084th prime number.
What is the sum of the first 3084 primes?
40,987,525.