What is the 2219th prime number?
The 2219th prime number is 19559. The next prime is 19571 (a gap of 12) and the one before is 19553.
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 2219th one is 19559.
- 2
19559 is prime because no prime up to ā19559 ā 139.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2219th prime is close to 2219 Ć ln(2219) ā 17097, and here it is 19559.
- 4
19559 has no twin: neither 19557 nor 19561 is prime.
Primes around the 2219th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2216 | 19541 | 10 |
| 2217 | 19543 | 2 |
| 2218 | 19553 | 10 |
| 2219 | 19559 | 6 |
| 2220 | 19571 | 12 |
| 2221 | 19577 | 6 |
| 2222 | 19583 | 6 |
Questions
What is the 2219th prime number?
19559.
Which prime number is 19559?
19559 is the 2219th prime number.
What is the sum of the first 2219 primes?
20,319,758.