What is the 1833rd prime number?
The 1833rd prime number is 15731. The next prime is 15733 (a gap of 2) and the one before is 15727.
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 1833rd one is 15731.
- 2
15731 is prime because no prime up to ā15731 ā 125.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1833rd prime is close to 1833 Ć ln(1833) ā 13773, and here it is 15731.
- 4
15731 is a twin prime: 15731 and 15733 are both prime.
Primes around the 1833rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1830 | 15679 | 8 |
| 1831 | 15683 | 4 |
| 1832 | 15727 | 44 |
| 1833 | 15731 | 4 |
| 1834 | 15733 | 2 |
| 1835 | 15737 | 4 |
| 1836 | 15739 | 2 |
Questions
What is the 1833rd prime number?
15731.
Which prime number is 15731?
15731 is the 1833rd prime number.
What is the sum of the first 1833 primes?
13,509,832.