What is the 4498th prime number?
The 4498th prime number is 43037. The next prime is 43049 (a gap of 12) and the one before is 43019.
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 4498th one is 43037.
- 2
43037 is prime because no prime up to ā43037 ā 207.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4498th prime is close to 4498 Ć ln(4498) ā 37834, and here it is 43037.
- 4
43037 has no twin: neither 43035 nor 43039 is prime.
Primes around the 4498th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4495 | 43003 | 14 |
| 4496 | 43013 | 10 |
| 4497 | 43019 | 6 |
| 4498 | 43037 | 18 |
| 4499 | 43049 | 12 |
| 4500 | 43051 | 2 |
| 4501 | 43063 | 12 |
Questions
What is the 4498th prime number?
43037.
Which prime number is 43037?
43037 is the 4498th prime number.
What is the sum of the first 4498 primes?
91,434,329.