What is the 4237th prime number?
The 4237th prime number is 40423. The next prime is 40427 (a gap of 4) and the one before is 40387.
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 4237th one is 40423.
- 2
40423 is prime because no prime up to ā40423 ā 201.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4237th prime is close to 4237 Ć ln(4237) ā 35386, and here it is 40423.
- 4
40423 has no twin: neither 40421 nor 40425 is prime.
Primes around the 4237th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4234 | 40357 | 6 |
| 4235 | 40361 | 4 |
| 4236 | 40387 | 26 |
| 4237 | 40423 | 36 |
| 4238 | 40427 | 4 |
| 4239 | 40429 | 2 |
| 4240 | 40433 | 4 |
Questions
What is the 4237th prime number?
40423.
Which prime number is 40423?
40423 is the 4237th prime number.
What is the sum of the first 4237 primes?
80,537,068.