What is the 4233rd prime number?
The 4233rd prime number is 40351. The next prime is 40357 (a gap of 6) and the one before is 40343.
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 4233rd one is 40351.
- 2
40351 is prime because no prime up to ā40351 ā 200.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4233rd prime is close to 4233 Ć ln(4233) ā 35348, and here it is 40351.
- 4
40351 has no twin: neither 40349 nor 40353 is prime.
Primes around the 4233rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4230 | 40283 | 6 |
| 4231 | 40289 | 6 |
| 4232 | 40343 | 54 |
| 4233 | 40351 | 8 |
| 4234 | 40357 | 6 |
| 4235 | 40361 | 4 |
| 4236 | 40387 | 26 |
Questions
What is the 4233rd prime number?
40351.
Which prime number is 40351?
40351 is the 4233rd prime number.
What is the sum of the first 4233 primes?
80,375,540.