What is the 4248th prime number?
The 4248th prime number is 40519. The next prime is 40529 (a gap of 10) and the one before is 40507.
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 4248th one is 40519.
- 2
40519 is prime because no prime up to ā40519 ā 201.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4248th prime is close to 4248 Ć ln(4248) ā 35489, and here it is 40519.
- 4
40519 has no twin: neither 40517 nor 40521 is prime.
Primes around the 4248th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4245 | 40493 | 6 |
| 4246 | 40499 | 6 |
| 4247 | 40507 | 8 |
| 4248 | 40519 | 12 |
| 4249 | 40529 | 10 |
| 4250 | 40531 | 2 |
| 4251 | 40543 | 12 |
Questions
What is the 4248th prime number?
40519.
Which prime number is 40519?
40519 is the 4248th prime number.
What is the sum of the first 4248 primes?
80,982,275.