What is the 1879th prime number?
The 1879th prime number is 16141. The next prime is 16183 (a gap of 42) and the one before is 16139.
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 1879th one is 16141.
- 2
16141 is prime because no prime up to ā16141 ā 127.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1879th prime is close to 1879 Ć ln(1879) ā 14165, and here it is 16141.
- 4
16141 is a twin prime: 16139 and 16141 are both prime.
Primes around the 1879th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1876 | 16111 | 8 |
| 1877 | 16127 | 16 |
| 1878 | 16139 | 12 |
| 1879 | 16141 | 2 |
| 1880 | 16183 | 42 |
| 1881 | 16187 | 4 |
| 1882 | 16189 | 2 |
Questions
What is the 1879th prime number?
16141.
Which prime number is 16141?
16141 is the 1879th prime number.
What is the sum of the first 1879 primes?
14,242,832.