What is the 1615th prime number?
The 1615th prime number is 13679. The next prime is 13681 (a gap of 2) and the one before is 13669.
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 1615th one is 13679.
- 2
13679 is prime because no prime up to ā13679 ā 116.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1615th prime is close to 1615 Ć ln(1615) ā 11930, and here it is 13679.
- 4
13679 is a twin prime: 13679 and 13681 are both prime.
Primes around the 1615th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1612 | 13633 | 6 |
| 1613 | 13649 | 16 |
| 1614 | 13669 | 20 |
| 1615 | 13679 | 10 |
| 1616 | 13681 | 2 |
| 1617 | 13687 | 6 |
| 1618 | 13691 | 4 |
Questions
What is the 1615th prime number?
13679.
Which prime number is 13679?
13679 is the 1615th prime number.
What is the sum of the first 1615 primes?
10,303,136.