What is the 4571st prime number?
The 4571st prime number is 43943. The next prime is 43951 (a gap of 8) and the one before is 43933.
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 4571st one is 43943.
- 2
43943 is prime because no prime up to ā43943 ā 209.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4571st prime is close to 4571 Ć ln(4571) ā 38522, and here it is 43943.
- 4
43943 has no twin: neither 43941 nor 43945 is prime.
Primes around the 4571st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4568 | 43891 | 2 |
| 4569 | 43913 | 22 |
| 4570 | 43933 | 20 |
| 4571 | 43943 | 10 |
| 4572 | 43951 | 8 |
| 4573 | 43961 | 10 |
| 4574 | 43963 | 2 |
Questions
What is the 4571st prime number?
43943.
Which prime number is 43943?
43943 is the 4571st prime number.
What is the sum of the first 4571 primes?
94,609,572.