What is the 3349th prime number?
The 3349th prime number is 31081. The next prime is 31091 (a gap of 10) and the one before is 31079.
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 3349th one is 31081.
- 2
31081 is prime because no prime up to ā31081 ā 176.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3349th prime is close to 3349 Ć ln(3349) ā 27182, and here it is 31081.
- 4
31081 is a twin prime: 31079 and 31081 are both prime.
Primes around the 3349th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3346 | 31063 | 12 |
| 3347 | 31069 | 6 |
| 3348 | 31079 | 10 |
| 3349 | 31081 | 2 |
| 3350 | 31091 | 10 |
| 3351 | 31121 | 30 |
| 3352 | 31123 | 2 |
Questions
What is the 3349th prime number?
31081.
Which prime number is 31081?
31081 is the 3349th prime number.
What is the sum of the first 3349 primes?
48,852,440.