What is the 4244th prime number?
The 4244th prime number is 40487. The next prime is 40493 (a gap of 6) and the one before is 40483.
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 4244th one is 40487.
- 2
40487 is prime because no prime up to ā40487 ā 201.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4244th prime is close to 4244 Ć ln(4244) ā 35451, and here it is 40487.
- 4
40487 has no twin: neither 40485 nor 40489 is prime.
Primes around the 4244th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4241 | 40459 | 26 |
| 4242 | 40471 | 12 |
| 4243 | 40483 | 12 |
| 4244 | 40487 | 4 |
| 4245 | 40493 | 6 |
| 4246 | 40499 | 6 |
| 4247 | 40507 | 8 |
Questions
What is the 4244th prime number?
40487.
Which prime number is 40487?
40487 is the 4244th prime number.
What is the sum of the first 4244 primes?
80,820,257.