What is the 6352nd prime number?
The 6352nd prime number is 63389. The next prime is 63391 (a gap of 2) and the one before is 63377.
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 6352nd one is 63389.
- 2
63389 is prime because no prime up to ā63389 ā 251.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6352nd prime is close to 6352 Ć ln(6352) ā 55621, and here it is 63389.
- 4
63389 is a twin prime: 63389 and 63391 are both prime.
Primes around the 6352nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6349 | 63361 | 8 |
| 6350 | 63367 | 6 |
| 6351 | 63377 | 10 |
| 6352 | 63389 | 12 |
| 6353 | 63391 | 2 |
| 6354 | 63397 | 6 |
| 6355 | 63409 | 12 |
Questions
What is the 6352nd prime number?
63389.
Which prime number is 63389?
63389 is the 6352nd prime number.
What is the sum of the first 6352 primes?
190,047,349.