What is the 4224th prime number?
The 4224th prime number is 40213. The next prime is 40231 (a gap of 18) and the one before is 40193.
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 4224th one is 40213.
- 2
40213 is prime because no prime up to ā40213 ā 200.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4224th prime is close to 4224 Ć ln(4224) ā 35264, and here it is 40213.
- 4
40213 has no twin: neither 40211 nor 40215 is prime.
Primes around the 4224th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4221 | 40177 | 8 |
| 4222 | 40189 | 12 |
| 4223 | 40193 | 4 |
| 4224 | 40213 | 20 |
| 4225 | 40231 | 18 |
| 4226 | 40237 | 6 |
| 4227 | 40241 | 4 |
Questions
What is the 4224th prime number?
40213.
Which prime number is 40213?
40213 is the 4224th prime number.
What is the sum of the first 4224 primes?
80,013,035.