What is the 1620th prime number?
The 1620th prime number is 13697. The next prime is 13709 (a gap of 12) and the one before is 13693.
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 1620th one is 13697.
- 2
13697 is prime because no prime up to ā13697 ā 117.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1620th prime is close to 1620 Ć ln(1620) ā 11972, and here it is 13697.
- 4
13697 has no twin: neither 13695 nor 13699 is prime.
Primes around the 1620th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1617 | 13687 | 6 |
| 1618 | 13691 | 4 |
| 1619 | 13693 | 2 |
| 1620 | 13697 | 4 |
| 1621 | 13709 | 12 |
| 1622 | 13711 | 2 |
| 1623 | 13721 | 10 |
Questions
What is the 1620th prime number?
13697.
Which prime number is 13697?
13697 is the 1620th prime number.
What is the sum of the first 1620 primes?
10,371,585.