What is the 2222nd prime number?
The 2222nd prime number is 19583. The next prime is 19597 (a gap of 14) and the one before is 19577.
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 2222nd one is 19583.
- 2
19583 is prime because no prime up to ā19583 ā 139.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2222nd prime is close to 2222 Ć ln(2222) ā 17123, and here it is 19583.
- 4
19583 has no twin: neither 19581 nor 19585 is prime.
Primes around the 2222nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2219 | 19559 | 6 |
| 2220 | 19571 | 12 |
| 2221 | 19577 | 6 |
| 2222 | 19583 | 6 |
| 2223 | 19597 | 14 |
| 2224 | 19603 | 6 |
| 2225 | 19609 | 6 |
Questions
What is the 2222nd prime number?
19583.
Which prime number is 19583?
19583 is the 2222nd prime number.
What is the sum of the first 2222 primes?
20,378,489.