What is the 1832nd prime number?
The 1832nd prime number is 15727. The next prime is 15731 (a gap of 4) and the one before is 15683.
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 1832nd one is 15727.
- 2
15727 is prime because no prime up to ā15727 ā 125.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1832nd prime is close to 1832 Ć ln(1832) ā 13764, and here it is 15727.
- 4
15727 has no twin: neither 15725 nor 15729 is prime.
Primes around the 1832nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1829 | 15671 | 4 |
| 1830 | 15679 | 8 |
| 1831 | 15683 | 4 |
| 1832 | 15727 | 44 |
| 1833 | 15731 | 4 |
| 1834 | 15733 | 2 |
| 1835 | 15737 | 4 |
Questions
What is the 1832nd prime number?
15727.
Which prime number is 15727?
15727 is the 1832nd prime number.
What is the sum of the first 1832 primes?
13,494,101.