What is the 1230th prime number?
The 1230th prime number is 10007. The next prime is 10009 (a gap of 2) and the one before is 9973.
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 1230th one is 10007.
- 2
10007 is prime because no prime up to ā10007 ā 100.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1230th prime is close to 1230 Ć ln(1230) ā 8751, and here it is 10007.
- 4
10007 is a twin prime: 10007 and 10009 are both prime.
Primes around the 1230th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1227 | 9949 | 8 |
| 1228 | 9967 | 18 |
| 1229 | 9973 | 6 |
| 1230 | 10007 | 34 |
| 1231 | 10009 | 2 |
| 1232 | 10037 | 28 |
| 1233 | 10039 | 2 |
Questions
What is the 1230th prime number?
10007.
Which prime number is 10007?
10007 is the 1230th prime number.
What is the sum of the first 1230 primes?
5,746,403.