What is the 1524th prime number?
The 1524th prime number is 12781. The next prime is 12791 (a gap of 10) and the one before is 12763.
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 1524th one is 12781.
- 2
12781 is prime because no prime up to ā12781 ā 113.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1524th prime is close to 1524 Ć ln(1524) ā 11170, and here it is 12781.
- 4
12781 has no twin: neither 12779 nor 12783 is prime.
Primes around the 1524th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1521 | 12743 | 4 |
| 1522 | 12757 | 14 |
| 1523 | 12763 | 6 |
| 1524 | 12781 | 18 |
| 1525 | 12791 | 10 |
| 1526 | 12799 | 8 |
| 1527 | 12809 | 10 |
Questions
What is the 1524th prime number?
12781.
Which prime number is 12781?
12781 is the 1524th prime number.
What is the sum of the first 1524 primes?
9,100,613.