What is the 1707th prime number?
The 1707th prime number is 14561. The next prime is 14563 (a gap of 2) and the one before is 14557.
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 1707th one is 14561.
- 2
14561 is prime because no prime up to ā14561 ā 120.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1707th prime is close to 1707 Ć ln(1707) ā 12704, and here it is 14561.
- 4
14561 is a twin prime: 14561 and 14563 are both prime.
Primes around the 1707th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1704 | 14549 | 6 |
| 1705 | 14551 | 2 |
| 1706 | 14557 | 6 |
| 1707 | 14561 | 4 |
| 1708 | 14563 | 2 |
| 1709 | 14591 | 28 |
| 1710 | 14593 | 2 |
Questions
What is the 1707th prime number?
14561.
Which prime number is 14561?
14561 is the 1707th prime number.
What is the sum of the first 1707 primes?
11,601,320.