What is the 1721st prime number?
The 1721st prime number is 14713. The next prime is 14717 (a gap of 4) and the one before is 14699.
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 1721st one is 14713.
- 2
14713 is prime because no prime up to ā14713 ā 121.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1721st prime is close to 1721 Ć ln(1721) ā 12823, and here it is 14713.
- 4
14713 has no twin: neither 14711 nor 14715 is prime.
Primes around the 1721st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1718 | 14669 | 12 |
| 1719 | 14683 | 14 |
| 1720 | 14699 | 16 |
| 1721 | 14713 | 14 |
| 1722 | 14717 | 4 |
| 1723 | 14723 | 6 |
| 1724 | 14731 | 8 |
Questions
What is the 1721st prime number?
14713.
Which prime number is 14713?
14713 is the 1721st prime number.
What is the sum of the first 1721 primes?
11,806,290.