What is the 1528th prime number?
The 1528th prime number is 12821. The next prime is 12823 (a gap of 2) and the one before is 12809.
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 1528th one is 12821.
- 2
12821 is prime because no prime up to ā12821 ā 113.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1528th prime is close to 1528 Ć ln(1528) ā 11203, and here it is 12821.
- 4
12821 is a twin prime: 12821 and 12823 are both prime.
Primes around the 1528th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1525 | 12791 | 10 |
| 1526 | 12799 | 8 |
| 1527 | 12809 | 10 |
| 1528 | 12821 | 12 |
| 1529 | 12823 | 2 |
| 1530 | 12829 | 6 |
| 1531 | 12841 | 12 |
Questions
What is the 1528th prime number?
12821.
Which prime number is 12821?
12821 is the 1528th prime number.
What is the sum of the first 1528 primes?
9,151,833.