What is the 1617th prime number?
The 1617th prime number is 13687. The next prime is 13691 (a gap of 4) and the one before is 13681.
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 1617th one is 13687.
- 2
13687 is prime because no prime up to ā13687 ā 116.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1617th prime is close to 1617 Ć ln(1617) ā 11947, and here it is 13687.
- 4
13687 has no twin: neither 13685 nor 13689 is prime.
Primes around the 1617th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1614 | 13669 | 20 |
| 1615 | 13679 | 10 |
| 1616 | 13681 | 2 |
| 1617 | 13687 | 6 |
| 1618 | 13691 | 4 |
| 1619 | 13693 | 2 |
| 1620 | 13697 | 4 |
Questions
What is the 1617th prime number?
13687.
Which prime number is 13687?
13687 is the 1617th prime number.
What is the sum of the first 1617 primes?
10,330,504.