What is the 1706th prime number?
The 1706th prime number is 14557. The next prime is 14561 (a gap of 4) and the one before is 14551.
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 1706th one is 14557.
- 2
14557 is prime because no prime up to ā14557 ā 120.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1706th prime is close to 1706 Ć ln(1706) ā 12696, and here it is 14557.
- 4
14557 has no twin: neither 14555 nor 14559 is prime.
Primes around the 1706th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1703 | 14543 | 6 |
| 1704 | 14549 | 6 |
| 1705 | 14551 | 2 |
| 1706 | 14557 | 6 |
| 1707 | 14561 | 4 |
| 1708 | 14563 | 2 |
| 1709 | 14591 | 28 |
Questions
What is the 1706th prime number?
14557.
Which prime number is 14557?
14557 is the 1706th prime number.
What is the sum of the first 1706 primes?
11,586,759.