What is the 3087th prime number?
The 3087th prime number is 28351. The next prime is 28387 (a gap of 36) and the one before is 28349.
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 3087th one is 28351.
- 2
28351 is prime because no prime up to ā28351 ā 168.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3087th prime is close to 3087 Ć ln(3087) ā 24804, and here it is 28351.
- 4
28351 is a twin prime: 28349 and 28351 are both prime.
Primes around the 3087th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3084 | 28309 | 2 |
| 3085 | 28319 | 10 |
| 3086 | 28349 | 30 |
| 3087 | 28351 | 2 |
| 3088 | 28387 | 36 |
| 3089 | 28393 | 6 |
| 3090 | 28403 | 10 |
Questions
What is the 3087th prime number?
28351.
Which prime number is 28351?
28351 is the 3087th prime number.
What is the sum of the first 3087 primes?
41,072,544.