What is the 3348th prime number?
The 3348th prime number is 31079. The next prime is 31081 (a gap of 2) and the one before is 31069.
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 3348th one is 31079.
- 2
31079 is prime because no prime up to ā31079 ā 176.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3348th prime is close to 3348 Ć ln(3348) ā 27173, and here it is 31079.
- 4
31079 is a twin prime: 31079 and 31081 are both prime.
Primes around the 3348th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3345 | 31051 | 12 |
| 3346 | 31063 | 12 |
| 3347 | 31069 | 6 |
| 3348 | 31079 | 10 |
| 3349 | 31081 | 2 |
| 3350 | 31091 | 10 |
| 3351 | 31121 | 30 |
Questions
What is the 3348th prime number?
31079.
Which prime number is 31079?
31079 is the 3348th prime number.
What is the sum of the first 3348 primes?
48,821,359.