What is the 4447th prime number?
The 4447th prime number is 42499. The next prime is 42509 (a gap of 10) and the one before is 42491.
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 4447th one is 42499.
- 2
42499 is prime because no prime up to ā42499 ā 206.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4447th prime is close to 4447 Ć ln(4447) ā 37355, and here it is 42499.
- 4
42499 has no twin: neither 42497 nor 42501 is prime.
Primes around the 4447th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4444 | 42473 | 6 |
| 4445 | 42487 | 14 |
| 4446 | 42491 | 4 |
| 4447 | 42499 | 8 |
| 4448 | 42509 | 10 |
| 4449 | 42533 | 24 |
| 4450 | 42557 | 24 |
Questions
What is the 4447th prime number?
42499.
Which prime number is 42499?
42499 is the 4447th prime number.
What is the sum of the first 4447 primes?
89,252,402.