What is the 3083rd prime number?
The 3083rd prime number is 28307. The next prime is 28309 (a gap of 2) and the one before is 28297.
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 3083rd one is 28307.
- 2
28307 is prime because no prime up to ā28307 ā 168.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3083rd prime is close to 3083 Ć ln(3083) ā 24768, and here it is 28307.
- 4
28307 is a twin prime: 28307 and 28309 are both prime.
Primes around the 3083rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3080 | 28283 | 4 |
| 3081 | 28289 | 6 |
| 3082 | 28297 | 8 |
| 3083 | 28307 | 10 |
| 3084 | 28309 | 2 |
| 3085 | 28319 | 10 |
| 3086 | 28349 | 30 |
Questions
What is the 3083rd prime number?
28307.
Which prime number is 28307?
28307 is the 3083rd prime number.
What is the sum of the first 3083 primes?
40,959,216.