What is the 1720th prime number?
The 1720th prime number is 14699. The next prime is 14713 (a gap of 14) and the one before is 14683.
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 1720th one is 14699.
- 2
14699 is prime because no prime up to ā14699 ā 121.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1720th prime is close to 1720 Ć ln(1720) ā 12814, and here it is 14699.
- 4
14699 has no twin: neither 14697 nor 14701 is prime.
Primes around the 1720th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1717 | 14657 | 4 |
| 1718 | 14669 | 12 |
| 1719 | 14683 | 14 |
| 1720 | 14699 | 16 |
| 1721 | 14713 | 14 |
| 1722 | 14717 | 4 |
| 1723 | 14723 | 6 |
Questions
What is the 1720th prime number?
14699.
Which prime number is 14699?
14699 is the 1720th prime number.
What is the sum of the first 1720 primes?
11,791,577.