What is the 1231st prime number?
The 1231st prime number is 10009. The next prime is 10037 (a gap of 28) and the one before is 10007.
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 1231st one is 10009.
- 2
10009 is prime because no prime up to ā10009 ā 100.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1231st prime is close to 1231 Ć ln(1231) ā 8759, and here it is 10009.
- 4
10009 is a twin prime: 10007 and 10009 are both prime.
Primes around the 1231st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1228 | 9967 | 18 |
| 1229 | 9973 | 6 |
| 1230 | 10007 | 34 |
| 1231 | 10009 | 2 |
| 1232 | 10037 | 28 |
| 1233 | 10039 | 2 |
| 1234 | 10061 | 22 |
Questions
What is the 1231st prime number?
10009.
Which prime number is 10009?
10009 is the 1231st prime number.
What is the sum of the first 1231 primes?
5,756,412.