What is the 4246th prime number?
The 4246th prime number is 40499. The next prime is 40507 (a gap of 8) and the one before is 40493.
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 4246th one is 40499.
- 2
40499 is prime because no prime up to ā40499 ā 201.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4246th prime is close to 4246 Ć ln(4246) ā 35470, and here it is 40499.
- 4
40499 has no twin: neither 40497 nor 40501 is prime.
Primes around the 4246th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4243 | 40483 | 12 |
| 4244 | 40487 | 4 |
| 4245 | 40493 | 6 |
| 4246 | 40499 | 6 |
| 4247 | 40507 | 8 |
| 4248 | 40519 | 12 |
| 4249 | 40529 | 10 |
Questions
What is the 4246th prime number?
40499.
Which prime number is 40499?
40499 is the 4246th prime number.
What is the sum of the first 4246 primes?
80,901,249.