What is the 6322nd prime number?
The 6322nd prime number is 63031. The next prime is 63059 (a gap of 28) and the one before is 63029.
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 6322nd one is 63031.
- 2
63031 is prime because no prime up to ā63031 ā 251.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6322nd prime is close to 6322 Ć ln(6322) ā 55329, and here it is 63031.
- 4
63031 is a twin prime: 63029 and 63031 are both prime.
Primes around the 6322nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6319 | 62987 | 4 |
| 6320 | 62989 | 2 |
| 6321 | 63029 | 40 |
| 6322 | 63031 | 2 |
| 6323 | 63059 | 28 |
| 6324 | 63067 | 8 |
| 6325 | 63073 | 6 |
Questions
What is the 6322nd prime number?
63031.
Which prime number is 63031?
63031 is the 6322nd prime number.
What is the sum of the first 6322 primes?
188,150,417.