What is the 1539th prime number?
The 1539th prime number is 12919. The next prime is 12923 (a gap of 4) and the one before is 12917.
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 1539th one is 12919.
- 2
12919 is prime because no prime up to ā12919 ā 113.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1539th prime is close to 1539 Ć ln(1539) ā 11295, and here it is 12919.
- 4
12919 is a twin prime: 12917 and 12919 are both prime.
Primes around the 1539th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1536 | 12907 | 8 |
| 1537 | 12911 | 4 |
| 1538 | 12917 | 6 |
| 1539 | 12919 | 2 |
| 1540 | 12923 | 4 |
| 1541 | 12941 | 18 |
| 1542 | 12953 | 12 |
Questions
What is the 1539th prime number?
12919.
Which prime number is 12919?
12919 is the 1539th prime number.
What is the sum of the first 1539 primes?
9,293,514.