What is the 1518th prime number?
The 1518th prime number is 12713. The next prime is 12721 (a gap of 8) and the one before is 12703.
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 1518th one is 12713.
- 2
12713 is prime because no prime up to ā12713 ā 112.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1518th prime is close to 1518 Ć ln(1518) ā 11120, and here it is 12713.
- 4
12713 has no twin: neither 12711 nor 12715 is prime.
Primes around the 1518th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1515 | 12689 | 18 |
| 1516 | 12697 | 8 |
| 1517 | 12703 | 6 |
| 1518 | 12713 | 10 |
| 1519 | 12721 | 8 |
| 1520 | 12739 | 18 |
| 1521 | 12743 | 4 |
Questions
What is the 1518th prime number?
12713.
Which prime number is 12713?
12713 is the 1518th prime number.
What is the sum of the first 1518 primes?
9,024,109.