What is the 3340th prime number?
The 3340th prime number is 30983. The next prime is 31013 (a gap of 30) and the one before is 30977.
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 3340th one is 30983.
- 2
30983 is prime because no prime up to ā30983 ā 176.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3340th prime is close to 3340 Ć ln(3340) ā 27100, and here it is 30983.
- 4
30983 has no twin: neither 30981 nor 30985 is prime.
Primes around the 3340th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3337 | 30949 | 8 |
| 3338 | 30971 | 22 |
| 3339 | 30977 | 6 |
| 3340 | 30983 | 6 |
| 3341 | 31013 | 30 |
| 3342 | 31019 | 6 |
| 3343 | 31033 | 14 |
Questions
What is the 3340th prime number?
30983.
Which prime number is 30983?
30983 is the 3340th prime number.
What is the sum of the first 3340 primes?
48,572,993.