What is the 6316th prime number?
The 6316th prime number is 62971. The next prime is 62981 (a gap of 10) and the one before is 62969.
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 6316th one is 62971.
- 2
62971 is prime because no prime up to ā62971 ā 250.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6316th prime is close to 6316 Ć ln(6316) ā 55270, and here it is 62971.
- 4
62971 is a twin prime: 62969 and 62971 are both prime.
Primes around the 6316th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6313 | 62929 | 2 |
| 6314 | 62939 | 10 |
| 6315 | 62969 | 30 |
| 6316 | 62971 | 2 |
| 6317 | 62981 | 10 |
| 6318 | 62983 | 2 |
| 6319 | 62987 | 4 |
Questions
What is the 6316th prime number?
62971.
Which prime number is 62971?
62971 is the 6316th prime number.
What is the sum of the first 6316 primes?
187,772,417.