What is the 1498th prime number?
The 1498th prime number is 12541. The next prime is 12547 (a gap of 6) and the one before is 12539.
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 1498th one is 12541.
- 2
12541 is prime because no prime up to ā12541 ā 111.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1498th prime is close to 1498 Ć ln(1498) ā 10953, and here it is 12541.
- 4
12541 is a twin prime: 12539 and 12541 are both prime.
Primes around the 1498th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1495 | 12517 | 6 |
| 1496 | 12527 | 10 |
| 1497 | 12539 | 12 |
| 1498 | 12541 | 2 |
| 1499 | 12547 | 6 |
| 1500 | 12553 | 6 |
| 1501 | 12569 | 16 |
Questions
What is the 1498th prime number?
12541.
Which prime number is 12541?
12541 is the 1498th prime number.
What is the sum of the first 1498 primes?
8,771,537.