What is the 3091st prime number?
The 3091st prime number is 28409. The next prime is 28411 (a gap of 2) and the one before is 28403.
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 3091st one is 28409.
- 2
28409 is prime because no prime up to ā28409 ā 168.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3091st prime is close to 3091 Ć ln(3091) ā 24840, and here it is 28409.
- 4
28409 is a twin prime: 28409 and 28411 are both prime.
Primes around the 3091st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3088 | 28387 | 36 |
| 3089 | 28393 | 6 |
| 3090 | 28403 | 10 |
| 3091 | 28409 | 6 |
| 3092 | 28411 | 2 |
| 3093 | 28429 | 18 |
| 3094 | 28433 | 4 |
Questions
What is the 3091st prime number?
28409.
Which prime number is 28409?
28409 is the 3091st prime number.
What is the sum of the first 3091 primes?
41,186,136.