What is the 1909th prime number?
The 1909th prime number is 16477. The next prime is 16481 (a gap of 4) and the one before is 16453.
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 1909th one is 16477.
- 2
16477 is prime because no prime up to ā16477 ā 128.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1909th prime is close to 1909 Ć ln(1909) ā 14421, and here it is 16477.
- 4
16477 has no twin: neither 16475 nor 16479 is prime.
Primes around the 1909th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1906 | 16447 | 14 |
| 1907 | 16451 | 4 |
| 1908 | 16453 | 2 |
| 1909 | 16477 | 24 |
| 1910 | 16481 | 4 |
| 1911 | 16487 | 6 |
| 1912 | 16493 | 6 |
Questions
What is the 1909th prime number?
16477.
Which prime number is 16477?
16477 is the 1909th prime number.
What is the sum of the first 1909 primes?
14,732,578.