What is the 6232nd prime number?
The 6232nd prime number is 61991. The next prime is 62003 (a gap of 12) and the one before is 61987.
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 6232nd one is 61991.
- 2
61991 is prime because no prime up to ā61991 ā 248.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6232nd prime is close to 6232 Ć ln(6232) ā 54452, and here it is 61991.
- 4
61991 has no twin: neither 61989 nor 61993 is prime.
Primes around the 6232nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6229 | 61979 | 12 |
| 6230 | 61981 | 2 |
| 6231 | 61987 | 6 |
| 6232 | 61991 | 4 |
| 6233 | 62003 | 12 |
| 6234 | 62011 | 8 |
| 6235 | 62017 | 6 |
Questions
What is the 6232nd prime number?
61991.
Which prime number is 61991?
61991 is the 6232nd prime number.
What is the sum of the first 6232 primes?
182,524,109.