What is the 1722nd prime number?
The 1722nd prime number is 14717. The next prime is 14723 (a gap of 6) and the one before is 14713.
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 1722nd one is 14717.
- 2
14717 is prime because no prime up to ā14717 ā 121.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1722nd prime is close to 1722 Ć ln(1722) ā 12831, and here it is 14717.
- 4
14717 has no twin: neither 14715 nor 14719 is prime.
Primes around the 1722nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1719 | 14683 | 14 |
| 1720 | 14699 | 16 |
| 1721 | 14713 | 14 |
| 1722 | 14717 | 4 |
| 1723 | 14723 | 6 |
| 1724 | 14731 | 8 |
| 1725 | 14737 | 6 |
Questions
What is the 1722nd prime number?
14717.
Which prime number is 14717?
14717 is the 1722nd prime number.
What is the sum of the first 1722 primes?
11,821,007.