What is the 1233rd prime number?
The 1233rd prime number is 10039. The next prime is 10061 (a gap of 22) and the one before is 10037.
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 1233rd one is 10039.
- 2
10039 is prime because no prime up to ā10039 ā 100.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1233rd prime is close to 1233 Ć ln(1233) ā 8776, and here it is 10039.
- 4
10039 is a twin prime: 10037 and 10039 are both prime.
Primes around the 1233rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1230 | 10007 | 34 |
| 1231 | 10009 | 2 |
| 1232 | 10037 | 28 |
| 1233 | 10039 | 2 |
| 1234 | 10061 | 22 |
| 1235 | 10067 | 6 |
| 1236 | 10069 | 2 |
Questions
What is the 1233rd prime number?
10039.
Which prime number is 10039?
10039 is the 1233rd prime number.
What is the sum of the first 1233 primes?
5,776,488.