What is the 4223rd prime number?
The 4223rd prime number is 40193. The next prime is 40213 (a gap of 20) and the one before is 40189.
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 4223rd one is 40193.
- 2
40193 is prime because no prime up to ā40193 ā 200.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4223rd prime is close to 4223 Ć ln(4223) ā 35255, and here it is 40193.
- 4
40193 has no twin: neither 40191 nor 40195 is prime.
Primes around the 4223rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4220 | 40169 | 6 |
| 4221 | 40177 | 8 |
| 4222 | 40189 | 12 |
| 4223 | 40193 | 4 |
| 4224 | 40213 | 20 |
| 4225 | 40231 | 18 |
| 4226 | 40237 | 6 |
Questions
What is the 4223rd prime number?
40193.
Which prime number is 40193?
40193 is the 4223rd prime number.
What is the sum of the first 4223 primes?
79,972,822.