What is the 3089th prime number?
The 3089th prime number is 28393. The next prime is 28403 (a gap of 10) and the one before is 28387.
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 3089th one is 28393.
- 2
28393 is prime because no prime up to ā28393 ā 168.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3089th prime is close to 3089 Ć ln(3089) ā 24822, and here it is 28393.
- 4
28393 has no twin: neither 28391 nor 28395 is prime.
Primes around the 3089th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3086 | 28349 | 30 |
| 3087 | 28351 | 2 |
| 3088 | 28387 | 36 |
| 3089 | 28393 | 6 |
| 3090 | 28403 | 10 |
| 3091 | 28409 | 6 |
| 3092 | 28411 | 2 |
Questions
What is the 3089th prime number?
28393.
Which prime number is 28393?
28393 is the 3089th prime number.
What is the sum of the first 3089 primes?
41,129,324.