What is the 4521st prime number?
The 4521st prime number is 43321. The next prime is 43331 (a gap of 10) and the one before is 43319.
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 4521st one is 43321.
- 2
43321 is prime because no prime up to ā43321 ā 208.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4521st prime is close to 4521 Ć ln(4521) ā 38051, and here it is 43321.
- 4
43321 is a twin prime: 43319 and 43321 are both prime.
Primes around the 4521st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4518 | 43291 | 8 |
| 4519 | 43313 | 22 |
| 4520 | 43319 | 6 |
| 4521 | 43321 | 2 |
| 4522 | 43331 | 10 |
| 4523 | 43391 | 60 |
| 4524 | 43397 | 6 |
Questions
What is the 4521st prime number?
43321.
Which prime number is 43321?
43321 is the 4521st prime number.
What is the sum of the first 4521 primes?
92,427,608.