What is the 2218th prime number?
The 2218th prime number is 19553. The next prime is 19559 (a gap of 6) and the one before is 19543.
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 2218th one is 19553.
- 2
19553 is prime because no prime up to ā19553 ā 139.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2218th prime is close to 2218 Ć ln(2218) ā 17088, and here it is 19553.
- 4
19553 has no twin: neither 19551 nor 19555 is prime.
Primes around the 2218th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2215 | 19531 | 24 |
| 2216 | 19541 | 10 |
| 2217 | 19543 | 2 |
| 2218 | 19553 | 10 |
| 2219 | 19559 | 6 |
| 2220 | 19571 | 12 |
| 2221 | 19577 | 6 |
Questions
What is the 2218th prime number?
19553.
Which prime number is 19553?
19553 is the 2218th prime number.
What is the sum of the first 2218 primes?
20,300,199.