What is the 3343rd prime number?
The 3343rd prime number is 31033. The next prime is 31039 (a gap of 6) and the one before is 31019.
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 3343rd one is 31033.
- 2
31033 is prime because no prime up to ā31033 ā 176.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3343rd prime is close to 3343 Ć ln(3343) ā 27127, and here it is 31033.
- 4
31033 has no twin: neither 31031 nor 31035 is prime.
Primes around the 3343rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3340 | 30983 | 6 |
| 3341 | 31013 | 30 |
| 3342 | 31019 | 6 |
| 3343 | 31033 | 14 |
| 3344 | 31039 | 6 |
| 3345 | 31051 | 12 |
| 3346 | 31063 | 12 |
Questions
What is the 3343rd prime number?
31033.
Which prime number is 31033?
31033 is the 3343rd prime number.
What is the sum of the first 3343 primes?
48,666,058.