What is the 4240th prime number?
The 4240th prime number is 40433. The next prime is 40459 (a gap of 26) and the one before is 40429.
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 4240th one is 40433.
- 2
40433 is prime because no prime up to ā40433 ā 201.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4240th prime is close to 4240 Ć ln(4240) ā 35414, and here it is 40433.
- 4
40433 has no twin: neither 40431 nor 40435 is prime.
Primes around the 4240th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4237 | 40423 | 36 |
| 4238 | 40427 | 4 |
| 4239 | 40429 | 2 |
| 4240 | 40433 | 4 |
| 4241 | 40459 | 26 |
| 4242 | 40471 | 12 |
| 4243 | 40483 | 12 |
Questions
What is the 4240th prime number?
40433.
Which prime number is 40433?
40433 is the 4240th prime number.
What is the sum of the first 4240 primes?
80,658,357.