What is the 1520th prime number?
The 1520th prime number is 12739. The next prime is 12743 (a gap of 4) and the one before is 12721.
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 1520th one is 12739.
- 2
12739 is prime because no prime up to ā12739 ā 112.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1520th prime is close to 1520 Ć ln(1520) ā 11136, and here it is 12739.
- 4
12739 has no twin: neither 12737 nor 12741 is prime.
Primes around the 1520th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1517 | 12703 | 6 |
| 1518 | 12713 | 10 |
| 1519 | 12721 | 8 |
| 1520 | 12739 | 18 |
| 1521 | 12743 | 4 |
| 1522 | 12757 | 14 |
| 1523 | 12763 | 6 |
Questions
What is the 1520th prime number?
12739.
Which prime number is 12739?
12739 is the 1520th prime number.
What is the sum of the first 1520 primes?
9,049,569.