What is the 1729th prime number?
The 1729th prime number is 14759. The next prime is 14767 (a gap of 8) and the one before is 14753.
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 1729th one is 14759.
- 2
14759 is prime because no prime up to ā14759 ā 121.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1729th prime is close to 1729 Ć ln(1729) ā 12890, and here it is 14759.
- 4
14759 has no twin: neither 14757 nor 14761 is prime.
Primes around the 1729th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1726 | 14741 | 4 |
| 1727 | 14747 | 6 |
| 1728 | 14753 | 6 |
| 1729 | 14759 | 6 |
| 1730 | 14767 | 8 |
| 1731 | 14771 | 4 |
| 1732 | 14779 | 8 |
Questions
What is the 1729th prime number?
14759.
Which prime number is 14759?
14759 is the 1729th prime number.
What is the sum of the first 1729 primes?
11,924,198.