What is the 2221st prime number?
The 2221st prime number is 19577. The next prime is 19583 (a gap of 6) and the one before is 19571.
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 2221st one is 19577.
- 2
19577 is prime because no prime up to ā19577 ā 139.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2221st prime is close to 2221 Ć ln(2221) ā 17114, and here it is 19577.
- 4
19577 has no twin: neither 19575 nor 19579 is prime.
Primes around the 2221st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2218 | 19553 | 10 |
| 2219 | 19559 | 6 |
| 2220 | 19571 | 12 |
| 2221 | 19577 | 6 |
| 2222 | 19583 | 6 |
| 2223 | 19597 | 14 |
| 2224 | 19603 | 6 |
Questions
What is the 2221st prime number?
19577.
Which prime number is 19577?
19577 is the 2221st prime number.
What is the sum of the first 2221 primes?
20,358,906.