What is the 1527th prime number?
The 1527th prime number is 12809. The next prime is 12821 (a gap of 12) and the one before is 12799.
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 1527th one is 12809.
- 2
12809 is prime because no prime up to ā12809 ā 113.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1527th prime is close to 1527 Ć ln(1527) ā 11195, and here it is 12809.
- 4
12809 has no twin: neither 12807 nor 12811 is prime.
Primes around the 1527th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1524 | 12781 | 18 |
| 1525 | 12791 | 10 |
| 1526 | 12799 | 8 |
| 1527 | 12809 | 10 |
| 1528 | 12821 | 12 |
| 1529 | 12823 | 2 |
| 1530 | 12829 | 6 |
Questions
What is the 1527th prime number?
12809.
Which prime number is 12809?
12809 is the 1527th prime number.
What is the sum of the first 1527 primes?
9,139,012.