What is the 4570th prime number?
The 4570th prime number is 43933. The next prime is 43943 (a gap of 10) and the one before is 43913.
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 4570th one is 43933.
- 2
43933 is prime because no prime up to ā43933 ā 209.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4570th prime is close to 4570 Ć ln(4570) ā 38513, and here it is 43933.
- 4
43933 has no twin: neither 43931 nor 43935 is prime.
Primes around the 4570th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4567 | 43889 | 22 |
| 4568 | 43891 | 2 |
| 4569 | 43913 | 22 |
| 4570 | 43933 | 20 |
| 4571 | 43943 | 10 |
| 4572 | 43951 | 8 |
| 4573 | 43961 | 10 |
Questions
What is the 4570th prime number?
43933.
Which prime number is 43933?
43933 is the 4570th prime number.
What is the sum of the first 4570 primes?
94,565,629.