What is the 3082nd prime number?
The 3082nd prime number is 28297. The next prime is 28307 (a gap of 10) and the one before is 28289.
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 3082nd one is 28297.
- 2
28297 is prime because no prime up to ā28297 ā 168.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3082nd prime is close to 3082 Ć ln(3082) ā 24759, and here it is 28297.
- 4
28297 has no twin: neither 28295 nor 28299 is prime.
Primes around the 3082nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3079 | 28279 | 2 |
| 3080 | 28283 | 4 |
| 3081 | 28289 | 6 |
| 3082 | 28297 | 8 |
| 3083 | 28307 | 10 |
| 3084 | 28309 | 2 |
| 3085 | 28319 | 10 |
Questions
What is the 3082nd prime number?
28297.
Which prime number is 28297?
28297 is the 3082nd prime number.
What is the sum of the first 3082 primes?
40,930,909.