What is the 1658th prime number?
The 1658th prime number is 14057. The next prime is 14071 (a gap of 14) and the one before is 14051.
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 1658th one is 14057.
- 2
14057 is prime because no prime up to ā14057 ā 118.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1658th prime is close to 1658 Ć ln(1658) ā 12291, and here it is 14057.
- 4
14057 has no twin: neither 14055 nor 14059 is prime.
Primes around the 1658th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1655 | 14029 | 18 |
| 1656 | 14033 | 4 |
| 1657 | 14051 | 18 |
| 1658 | 14057 | 6 |
| 1659 | 14071 | 14 |
| 1660 | 14081 | 10 |
| 1661 | 14083 | 2 |
Questions
What is the 1658th prime number?
14057.
Which prime number is 14057?
14057 is the 1658th prime number.
What is the sum of the first 1658 primes?
10,898,781.