What is the 4496th prime number?
The 4496th prime number is 43013. The next prime is 43019 (a gap of 6) and the one before is 43003.
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 4496th one is 43013.
- 2
43013 is prime because no prime up to ā43013 ā 207.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4496th prime is close to 4496 Ć ln(4496) ā 37816, and here it is 43013.
- 4
43013 has no twin: neither 43011 nor 43015 is prime.
Primes around the 4496th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4493 | 42979 | 12 |
| 4494 | 42989 | 10 |
| 4495 | 43003 | 14 |
| 4496 | 43013 | 10 |
| 4497 | 43019 | 6 |
| 4498 | 43037 | 18 |
| 4499 | 43049 | 12 |
Questions
What is the 4496th prime number?
43013.
Which prime number is 43013?
43013 is the 4496th prime number.
What is the sum of the first 4496 primes?
91,348,273.