What is the 4222nd prime number?
The 4222nd prime number is 40189. The next prime is 40193 (a gap of 4) and the one before is 40177.
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 4222nd one is 40189.
- 2
40189 is prime because no prime up to ā40189 ā 200.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4222nd prime is close to 4222 Ć ln(4222) ā 35246, and here it is 40189.
- 4
40189 has no twin: neither 40187 nor 40191 is prime.
Primes around the 4222nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4219 | 40163 | 10 |
| 4220 | 40169 | 6 |
| 4221 | 40177 | 8 |
| 4222 | 40189 | 12 |
| 4223 | 40193 | 4 |
| 4224 | 40213 | 20 |
| 4225 | 40231 | 18 |
Questions
What is the 4222nd prime number?
40189.
Which prime number is 40189?
40189 is the 4222nd prime number.
What is the sum of the first 4222 primes?
79,932,629.