What is the 4238th prime number?
The 4238th prime number is 40427. The next prime is 40429 (a gap of 2) and the one before is 40423.
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 4238th one is 40427.
- 2
40427 is prime because no prime up to ā40427 ā 201.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4238th prime is close to 4238 Ć ln(4238) ā 35395, and here it is 40427.
- 4
40427 is a twin prime: 40427 and 40429 are both prime.
Primes around the 4238th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4235 | 40361 | 4 |
| 4236 | 40387 | 26 |
| 4237 | 40423 | 36 |
| 4238 | 40427 | 4 |
| 4239 | 40429 | 2 |
| 4240 | 40433 | 4 |
| 4241 | 40459 | 26 |
Questions
What is the 4238th prime number?
40427.
Which prime number is 40427?
40427 is the 4238th prime number.
What is the sum of the first 4238 primes?
80,577,495.