What is the 6239th prime number?
The 6239th prime number is 62057. The next prime is 62071 (a gap of 14) and the one before is 62053.
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 6239th one is 62057.
- 2
62057 is prime because no prime up to ā62057 ā 249.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6239th prime is close to 6239 Ć ln(6239) ā 54520, and here it is 62057.
- 4
62057 has no twin: neither 62055 nor 62059 is prime.
Primes around the 6239th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6236 | 62039 | 22 |
| 6237 | 62047 | 8 |
| 6238 | 62053 | 6 |
| 6239 | 62057 | 4 |
| 6240 | 62071 | 14 |
| 6241 | 62081 | 10 |
| 6242 | 62099 | 18 |
Questions
What is the 6239th prime number?
62057.
Which prime number is 62057?
62057 is the 6239th prime number.
What is the sum of the first 6239 primes?
182,958,336.