What is the 1697th prime number?
The 1697th prime number is 14479. The next prime is 14489 (a gap of 10) and the one before is 14461.
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 1697th one is 14479.
- 2
14479 is prime because no prime up to ā14479 ā 120.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1697th prime is close to 1697 Ć ln(1697) ā 12620, and here it is 14479.
- 4
14479 has no twin: neither 14477 nor 14481 is prime.
Primes around the 1697th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1694 | 14447 | 10 |
| 1695 | 14449 | 2 |
| 1696 | 14461 | 12 |
| 1697 | 14479 | 18 |
| 1698 | 14489 | 10 |
| 1699 | 14503 | 14 |
| 1700 | 14519 | 16 |
Questions
What is the 1697th prime number?
14479.
Which prime number is 14479?
14479 is the 1697th prime number.
What is the sum of the first 1697 primes?
11,455,978.