What is the 1214th prime number?
The 1214th prime number is 9839. The next prime is 9851 (a gap of 12) and the one before is 9833.
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 1214th one is 9839.
- 2
9839 is prime because no prime up to ā9839 ā 99.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1214th prime is close to 1214 Ć ln(1214) ā 8621, and here it is 9839.
- 4
9839 has no twin: neither 9837 nor 9841 is prime.
Primes around the 1214th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1211 | 9817 | 6 |
| 1212 | 9829 | 12 |
| 1213 | 9833 | 4 |
| 1214 | 9839 | 6 |
| 1215 | 9851 | 12 |
| 1216 | 9857 | 6 |
| 1217 | 9859 | 2 |
Questions
What is the 1214th prime number?
9839.
Which prime number is 9839?
9839 is the 1214th prime number.
What is the sum of the first 1214 primes?
5,587,767.