What is the 1878th prime number?
The 1878th prime number is 16139. The next prime is 16141 (a gap of 2) and the one before is 16127.
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 1878th one is 16139.
- 2
16139 is prime because no prime up to ā16139 ā 127.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1878th prime is close to 1878 Ć ln(1878) ā 14156, and here it is 16139.
- 4
16139 is a twin prime: 16139 and 16141 are both prime.
Primes around the 1878th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1875 | 16103 | 6 |
| 1876 | 16111 | 8 |
| 1877 | 16127 | 16 |
| 1878 | 16139 | 12 |
| 1879 | 16141 | 2 |
| 1880 | 16183 | 42 |
| 1881 | 16187 | 4 |
Questions
What is the 1878th prime number?
16139.
Which prime number is 16139?
16139 is the 1878th prime number.
What is the sum of the first 1878 primes?
14,226,691.