What is the 1652nd prime number?
The 1652nd prime number is 13999. The next prime is 14009 (a gap of 10) and the one before is 13997.
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 1652nd one is 13999.
- 2
13999 is prime because no prime up to ā13999 ā 118.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1652nd prime is close to 1652 Ć ln(1652) ā 12241, and here it is 13999.
- 4
13999 is a twin prime: 13997 and 13999 are both prime.
Primes around the 1652nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1649 | 13963 | 30 |
| 1650 | 13967 | 4 |
| 1651 | 13997 | 30 |
| 1652 | 13999 | 2 |
| 1653 | 14009 | 10 |
| 1654 | 14011 | 2 |
| 1655 | 14029 | 18 |
Questions
What is the 1652nd prime number?
13999.
Which prime number is 13999?
13999 is the 1652nd prime number.
What is the sum of the first 1652 primes?
10,814,591.