What is the 3090th prime number?
The 3090th prime number is 28403. The next prime is 28409 (a gap of 6) and the one before is 28393.
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 3090th one is 28403.
- 2
28403 is prime because no prime up to ā28403 ā 168.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3090th prime is close to 3090 Ć ln(3090) ā 24831, and here it is 28403.
- 4
28403 has no twin: neither 28401 nor 28405 is prime.
Primes around the 3090th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3087 | 28351 | 2 |
| 3088 | 28387 | 36 |
| 3089 | 28393 | 6 |
| 3090 | 28403 | 10 |
| 3091 | 28409 | 6 |
| 3092 | 28411 | 2 |
| 3093 | 28429 | 18 |
Questions
What is the 3090th prime number?
28403.
Which prime number is 28403?
28403 is the 3090th prime number.
What is the sum of the first 3090 primes?
41,157,727.