What is the 3080th prime number?
The 3080th prime number is 28283. The next prime is 28289 (a gap of 6) and the one before is 28279.
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 3080th one is 28283.
- 2
28283 is prime because no prime up to ā28283 ā 168.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3080th prime is close to 3080 Ć ln(3080) ā 24741, and here it is 28283.
- 4
28283 has no twin: neither 28281 nor 28285 is prime.
Primes around the 3080th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3077 | 28229 | 10 |
| 3078 | 28277 | 48 |
| 3079 | 28279 | 2 |
| 3080 | 28283 | 4 |
| 3081 | 28289 | 6 |
| 3082 | 28297 | 8 |
| 3083 | 28307 | 10 |
Questions
What is the 3080th prime number?
28283.
Which prime number is 28283?
28283 is the 3080th prime number.
What is the sum of the first 3080 primes?
40,874,323.