What is the 6343rd prime number?
The 6343rd prime number is 63313. The next prime is 63317 (a gap of 4) and the one before is 63311.
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 6343rd one is 63313.
- 2
63313 is prime because no prime up to ā63313 ā 251.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6343rd prime is close to 6343 Ć ln(6343) ā 55534, and here it is 63313.
- 4
63313 is a twin prime: 63311 and 63313 are both prime.
Primes around the 6343rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6340 | 63281 | 4 |
| 6341 | 63299 | 18 |
| 6342 | 63311 | 12 |
| 6343 | 63313 | 2 |
| 6344 | 63317 | 4 |
| 6345 | 63331 | 14 |
| 6346 | 63337 | 6 |
Questions
What is the 6343rd prime number?
63313.
Which prime number is 63313?
63313 is the 6343rd prime number.
What is the sum of the first 6343 primes?
189,477,170.