What is the 1917th prime number?
The 1917th prime number is 16561. The next prime is 16567 (a gap of 6) and the one before is 16553.
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 1917th one is 16561.
- 2
16561 is prime because no prime up to ā16561 ā 128.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1917th prime is close to 1917 Ć ln(1917) ā 14490, and here it is 16561.
- 4
16561 has no twin: neither 16559 nor 16563 is prime.
Primes around the 1917th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1914 | 16529 | 10 |
| 1915 | 16547 | 18 |
| 1916 | 16553 | 6 |
| 1917 | 16561 | 8 |
| 1918 | 16567 | 6 |
| 1919 | 16573 | 6 |
| 1920 | 16603 | 30 |
Questions
What is the 1917th prime number?
16561.
Which prime number is 16561?
16561 is the 1917th prime number.
What is the sum of the first 1917 primes?
14,864,748.