What is the 1910th prime number?
The 1910th prime number is 16481. The next prime is 16487 (a gap of 6) and the one before is 16477.
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 1910th one is 16481.
- 2
16481 is prime because no prime up to ā16481 ā 128.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1910th prime is close to 1910 Ć ln(1910) ā 14430, and here it is 16481.
- 4
16481 has no twin: neither 16479 nor 16483 is prime.
Primes around the 1910th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1907 | 16451 | 4 |
| 1908 | 16453 | 2 |
| 1909 | 16477 | 24 |
| 1910 | 16481 | 4 |
| 1911 | 16487 | 6 |
| 1912 | 16493 | 6 |
| 1913 | 16519 | 26 |
Questions
What is the 1910th prime number?
16481.
Which prime number is 16481?
16481 is the 1910th prime number.
What is the sum of the first 1910 primes?
14,749,059.