What is the 1657th prime number?
The 1657th prime number is 14051. The next prime is 14057 (a gap of 6) and the one before is 14033.
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 1657th one is 14051.
- 2
14051 is prime because no prime up to ā14051 ā 118.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1657th prime is close to 1657 Ć ln(1657) ā 12283, and here it is 14051.
- 4
14051 has no twin: neither 14049 nor 14053 is prime.
Primes around the 1657th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1654 | 14011 | 2 |
| 1655 | 14029 | 18 |
| 1656 | 14033 | 4 |
| 1657 | 14051 | 18 |
| 1658 | 14057 | 6 |
| 1659 | 14071 | 14 |
| 1660 | 14081 | 10 |
Questions
What is the 1657th prime number?
14051.
Which prime number is 14051?
14051 is the 1657th prime number.
What is the sum of the first 1657 primes?
10,884,724.