What is the 4528th prime number?
The 4528th prime number is 43427. The next prime is 43441 (a gap of 14) and the one before is 43411.
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 4528th one is 43427.
- 2
43427 is prime because no prime up to ā43427 ā 208.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4528th prime is close to 4528 Ć ln(4528) ā 38117, and here it is 43427.
- 4
43427 has no twin: neither 43425 nor 43429 is prime.
Primes around the 4528th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4525 | 43399 | 2 |
| 4526 | 43403 | 4 |
| 4527 | 43411 | 8 |
| 4528 | 43427 | 16 |
| 4529 | 43441 | 14 |
| 4530 | 43451 | 10 |
| 4531 | 43457 | 6 |
Questions
What is the 4528th prime number?
43427.
Which prime number is 43427?
43427 is the 4528th prime number.
What is the sum of the first 4528 primes?
92,731,367.