What is the 1904th prime number?
The 1904th prime number is 16427. The next prime is 16433 (a gap of 6) and the one before is 16421.
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 1904th one is 16427.
- 2
16427 is prime because no prime up to ā16427 ā 128.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1904th prime is close to 1904 Ć ln(1904) ā 14378, and here it is 16427.
- 4
16427 has no twin: neither 16425 nor 16429 is prime.
Primes around the 1904th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1901 | 16411 | 30 |
| 1902 | 16417 | 6 |
| 1903 | 16421 | 4 |
| 1904 | 16427 | 6 |
| 1905 | 16433 | 6 |
| 1906 | 16447 | 14 |
| 1907 | 16451 | 4 |
Questions
What is the 1904th prime number?
16427.
Which prime number is 16427?
16427 is the 1904th prime number.
What is the sum of the first 1904 primes?
14,650,317.