What is the 6320th prime number?
The 6320th prime number is 62989. The next prime is 63029 (a gap of 40) and the one before is 62987.
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 6320th one is 62989.
- 2
62989 is prime because no prime up to ā62989 ā 250.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6320th prime is close to 6320 Ć ln(6320) ā 55309, and here it is 62989.
- 4
62989 is a twin prime: 62987 and 62989 are both prime.
Primes around the 6320th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6317 | 62981 | 10 |
| 6318 | 62983 | 2 |
| 6319 | 62987 | 4 |
| 6320 | 62989 | 2 |
| 6321 | 63029 | 40 |
| 6322 | 63031 | 2 |
| 6323 | 63059 | 28 |
Questions
What is the 6320th prime number?
62989.
Which prime number is 62989?
62989 is the 6320th prime number.
What is the sum of the first 6320 primes?
188,024,357.