What is the 1718th prime number?
The 1718th prime number is 14669. The next prime is 14683 (a gap of 14) and the one before is 14657.
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 1718th one is 14669.
- 2
14669 is prime because no prime up to ā14669 ā 121.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1718th prime is close to 1718 Ć ln(1718) ā 12797, and here it is 14669.
- 4
14669 has no twin: neither 14667 nor 14671 is prime.
Primes around the 1718th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1715 | 14639 | 6 |
| 1716 | 14653 | 14 |
| 1717 | 14657 | 4 |
| 1718 | 14669 | 12 |
| 1719 | 14683 | 14 |
| 1720 | 14699 | 16 |
| 1721 | 14713 | 14 |
Questions
What is the 1718th prime number?
14669.
Which prime number is 14669?
14669 is the 1718th prime number.
What is the sum of the first 1718 primes?
11,762,195.