What is the 3092nd prime number?
The 3092nd prime number is 28411. The next prime is 28429 (a gap of 18) and the one before is 28409.
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 3092nd one is 28411.
- 2
28411 is prime because no prime up to ā28411 ā 168.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3092nd prime is close to 3092 Ć ln(3092) ā 24849, and here it is 28411.
- 4
28411 is a twin prime: 28409 and 28411 are both prime.
Primes around the 3092nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3089 | 28393 | 6 |
| 3090 | 28403 | 10 |
| 3091 | 28409 | 6 |
| 3092 | 28411 | 2 |
| 3093 | 28429 | 18 |
| 3094 | 28433 | 4 |
| 3095 | 28439 | 6 |
Questions
What is the 3092nd prime number?
28411.
Which prime number is 28411?
28411 is the 3092nd prime number.
What is the sum of the first 3092 primes?
41,214,547.