What is the 4538th prime number?
The 4538th prime number is 43573. The next prime is 43577 (a gap of 4) and the one before is 43543.
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 4538th one is 43573.
- 2
43573 is prime because no prime up to ā43573 ā 208.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4538th prime is close to 4538 Ć ln(4538) ā 38211, and here it is 43573.
- 4
43573 has no twin: neither 43571 nor 43575 is prime.
Primes around the 4538th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4535 | 43517 | 18 |
| 4536 | 43541 | 24 |
| 4537 | 43543 | 2 |
| 4538 | 43573 | 30 |
| 4539 | 43577 | 4 |
| 4540 | 43579 | 2 |
| 4541 | 43591 | 12 |
Questions
What is the 4538th prime number?
43573.
Which prime number is 43573?
43573 is the 4538th prime number.
What is the sum of the first 4538 primes?
93,166,357.