What is the 4242nd prime number?
The 4242nd prime number is 40471. The next prime is 40483 (a gap of 12) and the one before is 40459.
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 4242nd one is 40471.
- 2
40471 is prime because no prime up to ā40471 ā 201.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4242nd prime is close to 4242 Ć ln(4242) ā 35433, and here it is 40471.
- 4
40471 has no twin: neither 40469 nor 40473 is prime.
Primes around the 4242nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4239 | 40429 | 2 |
| 4240 | 40433 | 4 |
| 4241 | 40459 | 26 |
| 4242 | 40471 | 12 |
| 4243 | 40483 | 12 |
| 4244 | 40487 | 4 |
| 4245 | 40493 | 6 |
Questions
What is the 4242nd prime number?
40471.
Which prime number is 40471?
40471 is the 4242nd prime number.
What is the sum of the first 4242 primes?
80,739,287.