What is the 6234th prime number?
The 6234th prime number is 62011. The next prime is 62017 (a gap of 6) and the one before is 62003.
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 6234th one is 62011.
- 2
62011 is prime because no prime up to ā62011 ā 249.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6234th prime is close to 6234 Ć ln(6234) ā 54471, and here it is 62011.
- 4
62011 has no twin: neither 62009 nor 62013 is prime.
Primes around the 6234th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6231 | 61987 | 6 |
| 6232 | 61991 | 4 |
| 6233 | 62003 | 12 |
| 6234 | 62011 | 8 |
| 6235 | 62017 | 6 |
| 6236 | 62039 | 22 |
| 6237 | 62047 | 8 |
Questions
What is the 6234th prime number?
62011.
Which prime number is 62011?
62011 is the 6234th prime number.
What is the sum of the first 6234 primes?
182,648,123.