What is the 4239th prime number?
The 4239th prime number is 40429. The next prime is 40433 (a gap of 4) and the one before is 40427.
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 4239th one is 40429.
- 2
40429 is prime because no prime up to ā40429 ā 201.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4239th prime is close to 4239 Ć ln(4239) ā 35404, and here it is 40429.
- 4
40429 is a twin prime: 40427 and 40429 are both prime.
Primes around the 4239th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4236 | 40387 | 26 |
| 4237 | 40423 | 36 |
| 4238 | 40427 | 4 |
| 4239 | 40429 | 2 |
| 4240 | 40433 | 4 |
| 4241 | 40459 | 26 |
| 4242 | 40471 | 12 |
Questions
What is the 4239th prime number?
40429.
Which prime number is 40429?
40429 is the 4239th prime number.
What is the sum of the first 4239 primes?
80,617,924.