What is the 4249th prime number?
The 4249th prime number is 40529. The next prime is 40531 (a gap of 2) and the one before is 40519.
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 4249th one is 40529.
- 2
40529 is prime because no prime up to ā40529 ā 201.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4249th prime is close to 4249 Ć ln(4249) ā 35498, and here it is 40529.
- 4
40529 is a twin prime: 40529 and 40531 are both prime.
Primes around the 4249th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4246 | 40499 | 6 |
| 4247 | 40507 | 8 |
| 4248 | 40519 | 12 |
| 4249 | 40529 | 10 |
| 4250 | 40531 | 2 |
| 4251 | 40543 | 12 |
| 4252 | 40559 | 16 |
Questions
What is the 4249th prime number?
40529.
Which prime number is 40529?
40529 is the 4249th prime number.
What is the sum of the first 4249 primes?
81,022,804.