What is the 3086th prime number?
The 3086th prime number is 28349. The next prime is 28351 (a gap of 2) and the one before is 28319.
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 3086th one is 28349.
- 2
28349 is prime because no prime up to ā28349 ā 168.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3086th prime is close to 3086 Ć ln(3086) ā 24795, and here it is 28349.
- 4
28349 is a twin prime: 28349 and 28351 are both prime.
Primes around the 3086th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3083 | 28307 | 10 |
| 3084 | 28309 | 2 |
| 3085 | 28319 | 10 |
| 3086 | 28349 | 30 |
| 3087 | 28351 | 2 |
| 3088 | 28387 | 36 |
| 3089 | 28393 | 6 |
Questions
What is the 3086th prime number?
28349.
Which prime number is 28349?
28349 is the 3086th prime number.
What is the sum of the first 3086 primes?
41,044,193.