What is the 1926th prime number?
The 1926th prime number is 16651. The next prime is 16657 (a gap of 6) and the one before is 16649.
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 1926th one is 16651.
- 2
16651 is prime because no prime up to ā16651 ā 129.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1926th prime is close to 1926 Ć ln(1926) ā 14567, and here it is 16651.
- 4
16651 is a twin prime: 16649 and 16651 are both prime.
Primes around the 1926th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1923 | 16631 | 12 |
| 1924 | 16633 | 2 |
| 1925 | 16649 | 16 |
| 1926 | 16651 | 2 |
| 1927 | 16657 | 6 |
| 1928 | 16661 | 4 |
| 1929 | 16673 | 12 |
Questions
What is the 1926th prime number?
16651.
Which prime number is 16651?
16651 is the 1926th prime number.
What is the sum of the first 1926 primes?
15,014,281.