What is the 6318th prime number?
The 6318th prime number is 62983. The next prime is 62987 (a gap of 4) and the one before is 62981.
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 6318th one is 62983.
- 2
62983 is prime because no prime up to ā62983 ā 250.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6318th prime is close to 6318 Ć ln(6318) ā 55290, and here it is 62983.
- 4
62983 is a twin prime: 62981 and 62983 are both prime.
Primes around the 6318th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6315 | 62969 | 30 |
| 6316 | 62971 | 2 |
| 6317 | 62981 | 10 |
| 6318 | 62983 | 2 |
| 6319 | 62987 | 4 |
| 6320 | 62989 | 2 |
| 6321 | 63029 | 40 |
Questions
What is the 6318th prime number?
62983.
Which prime number is 62983?
62983 is the 6318th prime number.
What is the sum of the first 6318 primes?
187,898,381.