What is the 4236th prime number?
The 4236th prime number is 40387. The next prime is 40423 (a gap of 36) and the one before is 40361.
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 4236th one is 40387.
- 2
40387 is prime because no prime up to ā40387 ā 200.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4236th prime is close to 4236 Ć ln(4236) ā 35376, and here it is 40387.
- 4
40387 has no twin: neither 40385 nor 40389 is prime.
Primes around the 4236th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4233 | 40351 | 8 |
| 4234 | 40357 | 6 |
| 4235 | 40361 | 4 |
| 4236 | 40387 | 26 |
| 4237 | 40423 | 36 |
| 4238 | 40427 | 4 |
| 4239 | 40429 | 2 |
Questions
What is the 4236th prime number?
40387.
Which prime number is 40387?
40387 is the 4236th prime number.
What is the sum of the first 4236 primes?
80,496,645.