What is the 1738th prime number?
The 1738th prime number is 14831. The next prime is 14843 (a gap of 12) and the one before is 14827.
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 1738th one is 14831.
- 2
14831 is prime because no prime up to ā14831 ā 121.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1738th prime is close to 1738 Ć ln(1738) ā 12966, and here it is 14831.
- 4
14831 has no twin: neither 14829 nor 14833 is prime.
Primes around the 1738th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1735 | 14813 | 16 |
| 1736 | 14821 | 8 |
| 1737 | 14827 | 6 |
| 1738 | 14831 | 4 |
| 1739 | 14843 | 12 |
| 1740 | 14851 | 8 |
| 1741 | 14867 | 16 |
Questions
What is the 1738th prime number?
14831.
Which prime number is 14831?
14831 is the 1738th prime number.
What is the sum of the first 1738 primes?
12,057,387.