What is the 2223rd prime number?
The 2223rd prime number is 19597. The next prime is 19603 (a gap of 6) and the one before is 19583.
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 2223rd one is 19597.
- 2
19597 is prime because no prime up to ā19597 ā 139.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2223rd prime is close to 2223 Ć ln(2223) ā 17132, and here it is 19597.
- 4
19597 has no twin: neither 19595 nor 19599 is prime.
Primes around the 2223rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2220 | 19571 | 12 |
| 2221 | 19577 | 6 |
| 2222 | 19583 | 6 |
| 2223 | 19597 | 14 |
| 2224 | 19603 | 6 |
| 2225 | 19609 | 6 |
| 2226 | 19661 | 52 |
Questions
What is the 2223rd prime number?
19597.
Which prime number is 19597?
19597 is the 2223rd prime number.
What is the sum of the first 2223 primes?
20,398,086.