What is the 6233rd prime number?
The 6233rd prime number is 62003. The next prime is 62011 (a gap of 8) and the one before is 61991.
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 6233rd one is 62003.
- 2
62003 is prime because no prime up to ā62003 ā 249.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6233rd prime is close to 6233 Ć ln(6233) ā 54462, and here it is 62003.
- 4
62003 has no twin: neither 62001 nor 62005 is prime.
Primes around the 6233rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6230 | 61981 | 2 |
| 6231 | 61987 | 6 |
| 6232 | 61991 | 4 |
| 6233 | 62003 | 12 |
| 6234 | 62011 | 8 |
| 6235 | 62017 | 6 |
| 6236 | 62039 | 22 |
Questions
What is the 6233rd prime number?
62003.
Which prime number is 62003?
62003 is the 6233rd prime number.
What is the sum of the first 6233 primes?
182,586,112.