What is the 1529th prime number?
The 1529th prime number is 12823. The next prime is 12829 (a gap of 6) and the one before is 12821.
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 1529th one is 12823.
- 2
12823 is prime because no prime up to ā12823 ā 113.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1529th prime is close to 1529 Ć ln(1529) ā 11211, and here it is 12823.
- 4
12823 is a twin prime: 12821 and 12823 are both prime.
Primes around the 1529th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1526 | 12799 | 8 |
| 1527 | 12809 | 10 |
| 1528 | 12821 | 12 |
| 1529 | 12823 | 2 |
| 1530 | 12829 | 6 |
| 1531 | 12841 | 12 |
| 1532 | 12853 | 12 |
Questions
What is the 1529th prime number?
12823.
Which prime number is 12823?
12823 is the 1529th prime number.
What is the sum of the first 1529 primes?
9,164,656.