What is the 6357th prime number?
The 6357th prime number is 63421. The next prime is 63439 (a gap of 18) and the one before is 63419.
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 6357th one is 63421.
- 2
63421 is prime because no prime up to ā63421 ā 251.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6357th prime is close to 6357 Ć ln(6357) ā 55670, and here it is 63421.
- 4
63421 is a twin prime: 63419 and 63421 are both prime.
Primes around the 6357th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6354 | 63397 | 6 |
| 6355 | 63409 | 12 |
| 6356 | 63419 | 10 |
| 6357 | 63421 | 2 |
| 6358 | 63439 | 18 |
| 6359 | 63443 | 4 |
| 6360 | 63463 | 20 |
Questions
What is the 6357th prime number?
63421.
Which prime number is 63421?
63421 is the 6357th prime number.
What is the sum of the first 6357 primes?
190,364,386.