What is the 1696th prime number?
The 1696th prime number is 14461. The next prime is 14479 (a gap of 18) and the one before is 14449.
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 1696th one is 14461.
- 2
14461 is prime because no prime up to ā14461 ā 120.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1696th prime is close to 1696 Ć ln(1696) ā 12612, and here it is 14461.
- 4
14461 has no twin: neither 14459 nor 14463 is prime.
Primes around the 1696th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1693 | 14437 | 6 |
| 1694 | 14447 | 10 |
| 1695 | 14449 | 2 |
| 1696 | 14461 | 12 |
| 1697 | 14479 | 18 |
| 1698 | 14489 | 10 |
| 1699 | 14503 | 14 |
Questions
What is the 1696th prime number?
14461.
Which prime number is 14461?
14461 is the 1696th prime number.
What is the sum of the first 1696 primes?
11,441,499.