What is the 6359th prime number?
The 6359th prime number is 63443. The next prime is 63463 (a gap of 20) and the one before is 63439.
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 6359th one is 63443.
- 2
63443 is prime because no prime up to ā63443 ā 251.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6359th prime is close to 6359 Ć ln(6359) ā 55690, and here it is 63443.
- 4
63443 has no twin: neither 63441 nor 63445 is prime.
Primes around the 6359th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6356 | 63419 | 10 |
| 6357 | 63421 | 2 |
| 6358 | 63439 | 18 |
| 6359 | 63443 | 4 |
| 6360 | 63463 | 20 |
| 6361 | 63467 | 4 |
| 6362 | 63473 | 6 |
Questions
What is the 6359th prime number?
63443.
Which prime number is 63443?
63443 is the 6359th prime number.
What is the sum of the first 6359 primes?
190,491,268.