What is the 4497th prime number?
The 4497th prime number is 43019. The next prime is 43037 (a gap of 18) and the one before is 43013.
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 4497th one is 43019.
- 2
43019 is prime because no prime up to ā43019 ā 207.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4497th prime is close to 4497 Ć ln(4497) ā 37825, and here it is 43019.
- 4
43019 has no twin: neither 43017 nor 43021 is prime.
Primes around the 4497th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4494 | 42989 | 10 |
| 4495 | 43003 | 14 |
| 4496 | 43013 | 10 |
| 4497 | 43019 | 6 |
| 4498 | 43037 | 18 |
| 4499 | 43049 | 12 |
| 4500 | 43051 | 2 |
Questions
What is the 4497th prime number?
43019.
Which prime number is 43019?
43019 is the 4497th prime number.
What is the sum of the first 4497 primes?
91,391,292.