What is the 1530th prime number?
The 1530th prime number is 12829. The next prime is 12841 (a gap of 12) and the one before is 12823.
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 1530th one is 12829.
- 2
12829 is prime because no prime up to ā12829 ā 113.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1530th prime is close to 1530 Ć ln(1530) ā 11220, and here it is 12829.
- 4
12829 has no twin: neither 12827 nor 12831 is prime.
Primes around the 1530th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1527 | 12809 | 10 |
| 1528 | 12821 | 12 |
| 1529 | 12823 | 2 |
| 1530 | 12829 | 6 |
| 1531 | 12841 | 12 |
| 1532 | 12853 | 12 |
| 1533 | 12889 | 36 |
Questions
What is the 1530th prime number?
12829.
Which prime number is 12829?
12829 is the 1530th prime number.
What is the sum of the first 1530 primes?
9,177,485.