What is the 1829th prime number?
The 1829th prime number is 15671. The next prime is 15679 (a gap of 8) and the one before is 15667.
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 1829th one is 15671.
- 2
15671 is prime because no prime up to ā15671 ā 125.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1829th prime is close to 1829 Ć ln(1829) ā 13739, and here it is 15671.
- 4
15671 has no twin: neither 15669 nor 15673 is prime.
Primes around the 1829th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1826 | 15649 | 2 |
| 1827 | 15661 | 12 |
| 1828 | 15667 | 6 |
| 1829 | 15671 | 4 |
| 1830 | 15679 | 8 |
| 1831 | 15683 | 4 |
| 1832 | 15727 | 44 |
Questions
What is the 1829th prime number?
15671.
Which prime number is 15671?
15671 is the 1829th prime number.
What is the sum of the first 1829 primes?
13,447,012.