What is the 1499th prime number?
The 1499th prime number is 12547. The next prime is 12553 (a gap of 6) and the one before is 12541.
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 1499th one is 12547.
- 2
12547 is prime because no prime up to ā12547 ā 112.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1499th prime is close to 1499 Ć ln(1499) ā 10962, and here it is 12547.
- 4
12547 has no twin: neither 12545 nor 12549 is prime.
Primes around the 1499th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1496 | 12527 | 10 |
| 1497 | 12539 | 12 |
| 1498 | 12541 | 2 |
| 1499 | 12547 | 6 |
| 1500 | 12553 | 6 |
| 1501 | 12569 | 16 |
| 1502 | 12577 | 8 |
Questions
What is the 1499th prime number?
12547.
Which prime number is 12547?
12547 is the 1499th prime number.
What is the sum of the first 1499 primes?
8,784,084.