What is the 1880th prime number?
The 1880th prime number is 16183. The next prime is 16187 (a gap of 4) and the one before is 16141.
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 1880th one is 16183.
- 2
16183 is prime because no prime up to ā16183 ā 127.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1880th prime is close to 1880 Ć ln(1880) ā 14173, and here it is 16183.
- 4
16183 has no twin: neither 16181 nor 16185 is prime.
Primes around the 1880th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1877 | 16127 | 16 |
| 1878 | 16139 | 12 |
| 1879 | 16141 | 2 |
| 1880 | 16183 | 42 |
| 1881 | 16187 | 4 |
| 1882 | 16189 | 2 |
| 1883 | 16193 | 4 |
Questions
What is the 1880th prime number?
16183.
Which prime number is 16183?
16183 is the 1880th prime number.
What is the sum of the first 1880 primes?
14,259,015.