What is the 3085th prime number?
The 3085th prime number is 28319. The next prime is 28349 (a gap of 30) and the one before is 28309.
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 3085th one is 28319.
- 2
28319 is prime because no prime up to ā28319 ā 168.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3085th prime is close to 3085 Ć ln(3085) ā 24786, and here it is 28319.
- 4
28319 has no twin: neither 28317 nor 28321 is prime.
Primes around the 3085th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3082 | 28297 | 8 |
| 3083 | 28307 | 10 |
| 3084 | 28309 | 2 |
| 3085 | 28319 | 10 |
| 3086 | 28349 | 30 |
| 3087 | 28351 | 2 |
| 3088 | 28387 | 36 |
Questions
What is the 3085th prime number?
28319.
Which prime number is 28319?
28319 is the 3085th prime number.
What is the sum of the first 3085 primes?
41,015,844.