What is the 1509th prime number?
The 1509th prime number is 12637. The next prime is 12641 (a gap of 4) and the one before is 12619.
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 1509th one is 12637.
- 2
12637 is prime because no prime up to ā12637 ā 112.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1509th prime is close to 1509 Ć ln(1509) ā 11045, and here it is 12637.
- 4
12637 has no twin: neither 12635 nor 12639 is prime.
Primes around the 1509th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1506 | 12611 | 10 |
| 1507 | 12613 | 2 |
| 1508 | 12619 | 6 |
| 1509 | 12637 | 18 |
| 1510 | 12641 | 4 |
| 1511 | 12647 | 6 |
| 1512 | 12653 | 6 |
Questions
What is the 1509th prime number?
12637.
Which prime number is 12637?
12637 is the 1509th prime number.
What is the sum of the first 1509 primes?
8,910,036.