What is the 1656th prime number?
The 1656th prime number is 14033. The next prime is 14051 (a gap of 18) and the one before is 14029.
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 1656th one is 14033.
- 2
14033 is prime because no prime up to ā14033 ā 118.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1656th prime is close to 1656 Ć ln(1656) ā 12275, and here it is 14033.
- 4
14033 has no twin: neither 14031 nor 14035 is prime.
Primes around the 1656th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1653 | 14009 | 10 |
| 1654 | 14011 | 2 |
| 1655 | 14029 | 18 |
| 1656 | 14033 | 4 |
| 1657 | 14051 | 18 |
| 1658 | 14057 | 6 |
| 1659 | 14071 | 14 |
Questions
What is the 1656th prime number?
14033.
Which prime number is 14033?
14033 is the 1656th prime number.
What is the sum of the first 1656 primes?
10,870,673.