What is the 6319th prime number?
The 6319th prime number is 62987. The next prime is 62989 (a gap of 2) and the one before is 62983.
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 6319th one is 62987.
- 2
62987 is prime because no prime up to ā62987 ā 250.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6319th prime is close to 6319 Ć ln(6319) ā 55300, and here it is 62987.
- 4
62987 is a twin prime: 62987 and 62989 are both prime.
Primes around the 6319th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6316 | 62971 | 2 |
| 6317 | 62981 | 10 |
| 6318 | 62983 | 2 |
| 6319 | 62987 | 4 |
| 6320 | 62989 | 2 |
| 6321 | 63029 | 40 |
| 6322 | 63031 | 2 |
Questions
What is the 6319th prime number?
62987.
Which prime number is 62987?
62987 is the 6319th prime number.
What is the sum of the first 6319 primes?
187,961,368.