What is the 1930th prime number?
The 1930th prime number is 16691. The next prime is 16693 (a gap of 2) and the one before is 16673.
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 1930th one is 16691.
- 2
16691 is prime because no prime up to ā16691 ā 129.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1930th prime is close to 1930 Ć ln(1930) ā 14601, and here it is 16691.
- 4
16691 is a twin prime: 16691 and 16693 are both prime.
Primes around the 1930th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1927 | 16657 | 6 |
| 1928 | 16661 | 4 |
| 1929 | 16673 | 12 |
| 1930 | 16691 | 18 |
| 1931 | 16693 | 2 |
| 1932 | 16699 | 6 |
| 1933 | 16703 | 4 |
Questions
What is the 1930th prime number?
16691.
Which prime number is 16691?
16691 is the 1930th prime number.
What is the sum of the first 1930 primes?
15,080,963.