What is the 1497th prime number?
The 1497th prime number is 12539. The next prime is 12541 (a gap of 2) and the one before is 12527.
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 1497th one is 12539.
- 2
12539 is prime because no prime up to ā12539 ā 111.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1497th prime is close to 1497 Ć ln(1497) ā 10945, and here it is 12539.
- 4
12539 is a twin prime: 12539 and 12541 are both prime.
Primes around the 1497th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1494 | 12511 | 8 |
| 1495 | 12517 | 6 |
| 1496 | 12527 | 10 |
| 1497 | 12539 | 12 |
| 1498 | 12541 | 2 |
| 1499 | 12547 | 6 |
| 1500 | 12553 | 6 |
Questions
What is the 1497th prime number?
12539.
Which prime number is 12539?
12539 is the 1497th prime number.
What is the sum of the first 1497 primes?
8,758,996.