What is the 3339th prime number?
The 3339th prime number is 30977. The next prime is 30983 (a gap of 6) and the one before is 30971.
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 3339th one is 30977.
- 2
30977 is prime because no prime up to ā30977 ā 176.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3339th prime is close to 3339 Ć ln(3339) ā 27091, and here it is 30977.
- 4
30977 has no twin: neither 30975 nor 30979 is prime.
Primes around the 3339th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3336 | 30941 | 4 |
| 3337 | 30949 | 8 |
| 3338 | 30971 | 22 |
| 3339 | 30977 | 6 |
| 3340 | 30983 | 6 |
| 3341 | 31013 | 30 |
| 3342 | 31019 | 6 |
Questions
What is the 3339th prime number?
30977.
Which prime number is 30977?
30977 is the 3339th prime number.
What is the sum of the first 3339 primes?
48,542,010.