What is the 3081st prime number?
The 3081st prime number is 28289. The next prime is 28297 (a gap of 8) and the one before is 28283.
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 3081st one is 28289.
- 2
28289 is prime because no prime up to ā28289 ā 168.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3081st prime is close to 3081 Ć ln(3081) ā 24750, and here it is 28289.
- 4
28289 has no twin: neither 28287 nor 28291 is prime.
Primes around the 3081st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3078 | 28277 | 48 |
| 3079 | 28279 | 2 |
| 3080 | 28283 | 4 |
| 3081 | 28289 | 6 |
| 3082 | 28297 | 8 |
| 3083 | 28307 | 10 |
| 3084 | 28309 | 2 |
Questions
What is the 3081st prime number?
28289.
Which prime number is 28289?
28289 is the 3081st prime number.
What is the sum of the first 3081 primes?
40,902,612.