What is the 3344th prime number?
The 3344th prime number is 31039. The next prime is 31051 (a gap of 12) and the one before is 31033.
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 3344th one is 31039.
- 2
31039 is prime because no prime up to ā31039 ā 176.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3344th prime is close to 3344 Ć ln(3344) ā 27136, and here it is 31039.
- 4
31039 has no twin: neither 31037 nor 31041 is prime.
Primes around the 3344th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3341 | 31013 | 30 |
| 3342 | 31019 | 6 |
| 3343 | 31033 | 14 |
| 3344 | 31039 | 6 |
| 3345 | 31051 | 12 |
| 3346 | 31063 | 12 |
| 3347 | 31069 | 6 |
Questions
What is the 3344th prime number?
31039.
Which prime number is 31039?
31039 is the 3344th prime number.
What is the sum of the first 3344 primes?
48,697,097.