What is the 1830th prime number?
The 1830th prime number is 15679. The next prime is 15683 (a gap of 4) and the one before is 15671.
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 1830th one is 15679.
- 2
15679 is prime because no prime up to ā15679 ā 125.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1830th prime is close to 1830 Ć ln(1830) ā 13747, and here it is 15679.
- 4
15679 has no twin: neither 15677 nor 15681 is prime.
Primes around the 1830th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1827 | 15661 | 12 |
| 1828 | 15667 | 6 |
| 1829 | 15671 | 4 |
| 1830 | 15679 | 8 |
| 1831 | 15683 | 4 |
| 1832 | 15727 | 44 |
| 1833 | 15731 | 4 |
Questions
What is the 1830th prime number?
15679.
Which prime number is 15679?
15679 is the 1830th prime number.
What is the sum of the first 1830 primes?
13,462,691.