What is the 1519th prime number?
The 1519th prime number is 12721. The next prime is 12739 (a gap of 18) and the one before is 12713.
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 1519th one is 12721.
- 2
12721 is prime because no prime up to ā12721 ā 112.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1519th prime is close to 1519 Ć ln(1519) ā 11128, and here it is 12721.
- 4
12721 has no twin: neither 12719 nor 12723 is prime.
Primes around the 1519th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1516 | 12697 | 8 |
| 1517 | 12703 | 6 |
| 1518 | 12713 | 10 |
| 1519 | 12721 | 8 |
| 1520 | 12739 | 18 |
| 1521 | 12743 | 4 |
| 1522 | 12757 | 14 |
Questions
What is the 1519th prime number?
12721.
Which prime number is 12721?
12721 is the 1519th prime number.
What is the sum of the first 1519 primes?
9,036,830.