What is the 1239th prime number?
The 1239th prime number is 10093. The next prime is 10099 (a gap of 6) and the one before is 10091.
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 1239th one is 10093.
- 2
10093 is prime because no prime up to ā10093 ā 100.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1239th prime is close to 1239 Ć ln(1239) ā 8824, and here it is 10093.
- 4
10093 is a twin prime: 10091 and 10093 are both prime.
Primes around the 1239th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1236 | 10069 | 2 |
| 1237 | 10079 | 10 |
| 1238 | 10091 | 12 |
| 1239 | 10093 | 2 |
| 1240 | 10099 | 6 |
| 1241 | 10103 | 4 |
| 1242 | 10111 | 8 |
Questions
What is the 1239th prime number?
10093.
Which prime number is 10093?
10093 is the 1239th prime number.
What is the sum of the first 1239 primes?
5,836,948.