What is the 1731st prime number?
The 1731st prime number is 14771. The next prime is 14779 (a gap of 8) and the one before is 14767.
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 1731st one is 14771.
- 2
14771 is prime because no prime up to ā14771 ā 121.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1731st prime is close to 1731 Ć ln(1731) ā 12907, and here it is 14771.
- 4
14771 has no twin: neither 14769 nor 14773 is prime.
Primes around the 1731st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1728 | 14753 | 6 |
| 1729 | 14759 | 6 |
| 1730 | 14767 | 8 |
| 1731 | 14771 | 4 |
| 1732 | 14779 | 8 |
| 1733 | 14783 | 4 |
| 1734 | 14797 | 14 |
Questions
What is the 1731st prime number?
14771.
Which prime number is 14771?
14771 is the 1731st prime number.
What is the sum of the first 1731 primes?
11,953,736.