What is the 1213th prime number?
The 1213th prime number is 9833. The next prime is 9839 (a gap of 6) and the one before is 9829.
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 1213th one is 9833.
- 2
9833 is prime because no prime up to ā9833 ā 99.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1213th prime is close to 1213 Ć ln(1213) ā 8613, and here it is 9833.
- 4
9833 has no twin: neither 9831 nor 9835 is prime.
Primes around the 1213th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1210 | 9811 | 8 |
| 1211 | 9817 | 6 |
| 1212 | 9829 | 12 |
| 1213 | 9833 | 4 |
| 1214 | 9839 | 6 |
| 1215 | 9851 | 12 |
| 1216 | 9857 | 6 |
Questions
What is the 1213th prime number?
9833.
Which prime number is 9833?
9833 is the 1213th prime number.
What is the sum of the first 1213 primes?
5,577,928.