What is the 1496th prime number?
The 1496th prime number is 12527. The next prime is 12539 (a gap of 12) and the one before is 12517.
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 1496th one is 12527.
- 2
12527 is prime because no prime up to ā12527 ā 111.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1496th prime is close to 1496 Ć ln(1496) ā 10937, and here it is 12527.
- 4
12527 has no twin: neither 12525 nor 12529 is prime.
Primes around the 1496th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1493 | 12503 | 6 |
| 1494 | 12511 | 8 |
| 1495 | 12517 | 6 |
| 1496 | 12527 | 10 |
| 1497 | 12539 | 12 |
| 1498 | 12541 | 2 |
| 1499 | 12547 | 6 |
Questions
What is the 1496th prime number?
12527.
Which prime number is 12527?
12527 is the 1496th prime number.
What is the sum of the first 1496 primes?
8,746,457.