What is the 2213th prime number?
The 2213th prime number is 19501. The next prime is 19507 (a gap of 6) and the one before is 19489.
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 2213th one is 19501.
- 2
19501 is prime because no prime up to ā19501 ā 139.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2213th prime is close to 2213 Ć ln(2213) ā 17045, and here it is 19501.
- 4
19501 has no twin: neither 19499 nor 19503 is prime.
Primes around the 2213th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2210 | 19477 | 6 |
| 2211 | 19483 | 6 |
| 2212 | 19489 | 6 |
| 2213 | 19501 | 12 |
| 2214 | 19507 | 6 |
| 2215 | 19531 | 24 |
| 2216 | 19541 | 10 |
Questions
What is the 2213th prime number?
19501.
Which prime number is 19501?
19501 is the 2213th prime number.
What is the sum of the first 2213 primes?
20,202,524.