What is the 6315th prime number?
The 6315th prime number is 62969. The next prime is 62971 (a gap of 2) and the one before is 62939.
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 6315th one is 62969.
- 2
62969 is prime because no prime up to ā62969 ā 250.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6315th prime is close to 6315 Ć ln(6315) ā 55261, and here it is 62969.
- 4
62969 is a twin prime: 62969 and 62971 are both prime.
Primes around the 6315th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6312 | 62927 | 6 |
| 6313 | 62929 | 2 |
| 6314 | 62939 | 10 |
| 6315 | 62969 | 30 |
| 6316 | 62971 | 2 |
| 6317 | 62981 | 10 |
| 6318 | 62983 | 2 |
Questions
What is the 6315th prime number?
62969.
Which prime number is 62969?
62969 is the 6315th prime number.
What is the sum of the first 6315 primes?
187,709,446.