What is the 1828th prime number?
The 1828th prime number is 15667. The next prime is 15671 (a gap of 4) and the one before is 15661.
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 1828th one is 15667.
- 2
15667 is prime because no prime up to ā15667 ā 125.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1828th prime is close to 1828 Ć ln(1828) ā 13730, and here it is 15667.
- 4
15667 has no twin: neither 15665 nor 15669 is prime.
Primes around the 1828th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1825 | 15647 | 4 |
| 1826 | 15649 | 2 |
| 1827 | 15661 | 12 |
| 1828 | 15667 | 6 |
| 1829 | 15671 | 4 |
| 1830 | 15679 | 8 |
| 1831 | 15683 | 4 |
Questions
What is the 1828th prime number?
15667.
Which prime number is 15667?
15667 is the 1828th prime number.
What is the sum of the first 1828 primes?
13,431,341.