What is the 1616th prime number?
The 1616th prime number is 13681. The next prime is 13687 (a gap of 6) and the one before is 13679.
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 1616th one is 13681.
- 2
13681 is prime because no prime up to ā13681 ā 116.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1616th prime is close to 1616 Ć ln(1616) ā 11939, and here it is 13681.
- 4
13681 is a twin prime: 13679 and 13681 are both prime.
Primes around the 1616th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1613 | 13649 | 16 |
| 1614 | 13669 | 20 |
| 1615 | 13679 | 10 |
| 1616 | 13681 | 2 |
| 1617 | 13687 | 6 |
| 1618 | 13691 | 4 |
| 1619 | 13693 | 2 |
Questions
What is the 1616th prime number?
13681.
Which prime number is 13681?
13681 is the 1616th prime number.
What is the sum of the first 1616 primes?
10,316,817.