What is the 1908th prime number?
The 1908th prime number is 16453. The next prime is 16477 (a gap of 24) and the one before is 16451.
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 1908th one is 16453.
- 2
16453 is prime because no prime up to ā16453 ā 128.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1908th prime is close to 1908 Ć ln(1908) ā 14413, and here it is 16453.
- 4
16453 is a twin prime: 16451 and 16453 are both prime.
Primes around the 1908th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1905 | 16433 | 6 |
| 1906 | 16447 | 14 |
| 1907 | 16451 | 4 |
| 1908 | 16453 | 2 |
| 1909 | 16477 | 24 |
| 1910 | 16481 | 4 |
| 1911 | 16487 | 6 |
Questions
What is the 1908th prime number?
16453.
Which prime number is 16453?
16453 is the 1908th prime number.
What is the sum of the first 1908 primes?
14,716,101.