What is the 1232nd prime number?
The 1232nd prime number is 10037. The next prime is 10039 (a gap of 2) and the one before is 10009.
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 1232nd one is 10037.
- 2
10037 is prime because no prime up to ā10037 ā 100.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1232nd prime is close to 1232 Ć ln(1232) ā 8767, and here it is 10037.
- 4
10037 is a twin prime: 10037 and 10039 are both prime.
Primes around the 1232nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1229 | 9973 | 6 |
| 1230 | 10007 | 34 |
| 1231 | 10009 | 2 |
| 1232 | 10037 | 28 |
| 1233 | 10039 | 2 |
| 1234 | 10061 | 22 |
| 1235 | 10067 | 6 |
Questions
What is the 1232nd prime number?
10037.
Which prime number is 10037?
10037 is the 1232nd prime number.
What is the sum of the first 1232 primes?
5,766,449.