What is the 1834th prime number?
The 1834th prime number is 15733. The next prime is 15737 (a gap of 4) and the one before is 15731.
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 1834th one is 15733.
- 2
15733 is prime because no prime up to ā15733 ā 125.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1834th prime is close to 1834 Ć ln(1834) ā 13781, and here it is 15733.
- 4
15733 is a twin prime: 15731 and 15733 are both prime.
Primes around the 1834th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1831 | 15683 | 4 |
| 1832 | 15727 | 44 |
| 1833 | 15731 | 4 |
| 1834 | 15733 | 2 |
| 1835 | 15737 | 4 |
| 1836 | 15739 | 2 |
| 1837 | 15749 | 10 |
Questions
What is the 1834th prime number?
15733.
Which prime number is 15733?
15733 is the 1834th prime number.
What is the sum of the first 1834 primes?
13,525,565.