What is the 1532nd prime number?
The 1532nd prime number is 12853. The next prime is 12889 (a gap of 36) and the one before is 12841.
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 1532nd one is 12853.
- 2
12853 is prime because no prime up to ā12853 ā 113.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1532nd prime is close to 1532 Ć ln(1532) ā 11236, and here it is 12853.
- 4
12853 has no twin: neither 12851 nor 12855 is prime.
Primes around the 1532nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1529 | 12823 | 2 |
| 1530 | 12829 | 6 |
| 1531 | 12841 | 12 |
| 1532 | 12853 | 12 |
| 1533 | 12889 | 36 |
| 1534 | 12893 | 4 |
| 1535 | 12899 | 6 |
Questions
What is the 1532nd prime number?
12853.
Which prime number is 12853?
12853 is the 1532nd prime number.
What is the sum of the first 1532 primes?
9,203,179.