What is the 4232nd prime number?
The 4232nd prime number is 40343. The next prime is 40351 (a gap of 8) and the one before is 40289.
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 4232nd one is 40343.
- 2
40343 is prime because no prime up to ā40343 ā 200.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4232nd prime is close to 4232 Ć ln(4232) ā 35339, and here it is 40343.
- 4
40343 has no twin: neither 40341 nor 40345 is prime.
Primes around the 4232nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4229 | 40277 | 24 |
| 4230 | 40283 | 6 |
| 4231 | 40289 | 6 |
| 4232 | 40343 | 54 |
| 4233 | 40351 | 8 |
| 4234 | 40357 | 6 |
| 4235 | 40361 | 4 |
Questions
What is the 4232nd prime number?
40343.
Which prime number is 40343?
40343 is the 4232nd prime number.
What is the sum of the first 4232 primes?
80,335,189.