What is the 6321st prime number?
The 6321st prime number is 63029. The next prime is 63031 (a gap of 2) and the one before is 62989.
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 6321st one is 63029.
- 2
63029 is prime because no prime up to ā63029 ā 251.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6321st prime is close to 6321 Ć ln(6321) ā 55319, and here it is 63029.
- 4
63029 is a twin prime: 63029 and 63031 are both prime.
Primes around the 6321st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6318 | 62983 | 2 |
| 6319 | 62987 | 4 |
| 6320 | 62989 | 2 |
| 6321 | 63029 | 40 |
| 6322 | 63031 | 2 |
| 6323 | 63059 | 28 |
| 6324 | 63067 | 8 |
Questions
What is the 6321st prime number?
63029.
Which prime number is 63029?
63029 is the 6321st prime number.
What is the sum of the first 6321 primes?
188,087,386.