What is the 6237th prime number?
The 6237th prime number is 62047. The next prime is 62053 (a gap of 6) and the one before is 62039.
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, ⦠The 6237th one is 62047.
- 2
62047 is prime because no prime up to ā62047 ā 249.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6237th prime is close to 6237 Ć ln(6237) ā 54500, and here it is 62047.
- 4
62047 has no twin: neither 62045 nor 62049 is prime.
Primes around the 6237th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6234 | 62011 | 8 |
| 6235 | 62017 | 6 |
| 6236 | 62039 | 22 |
| 6237 | 62047 | 8 |
| 6238 | 62053 | 6 |
| 6239 | 62057 | 4 |
| 6240 | 62071 | 14 |
Questions
What is the 6237th prime number?
62047.
Which prime number is 62047?
62047 is the 6237th prime number.
What is the sum of the first 6237 primes?
182,834,226.