What is the 6317th prime number?
The 6317th prime number is 62981. The next prime is 62983 (a gap of 2) and the one before is 62971.
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 6317th one is 62981.
- 2
62981 is prime because no prime up to ā62981 ā 250.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6317th prime is close to 6317 Ć ln(6317) ā 55280, and here it is 62981.
- 4
62981 is a twin prime: 62981 and 62983 are both prime.
Primes around the 6317th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6314 | 62939 | 10 |
| 6315 | 62969 | 30 |
| 6316 | 62971 | 2 |
| 6317 | 62981 | 10 |
| 6318 | 62983 | 2 |
| 6319 | 62987 | 4 |
| 6320 | 62989 | 2 |
Questions
What is the 6317th prime number?
62981.
Which prime number is 62981?
62981 is the 6317th prime number.
What is the sum of the first 6317 primes?
187,835,398.