What is the 1931st prime number?
The 1931st prime number is 16693. The next prime is 16699 (a gap of 6) and the one before is 16691.
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 1931st one is 16693.
- 2
16693 is prime because no prime up to ā16693 ā 129.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1931st prime is close to 1931 Ć ln(1931) ā 14610, and here it is 16693.
- 4
16693 is a twin prime: 16691 and 16693 are both prime.
Primes around the 1931st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1928 | 16661 | 4 |
| 1929 | 16673 | 12 |
| 1930 | 16691 | 18 |
| 1931 | 16693 | 2 |
| 1932 | 16699 | 6 |
| 1933 | 16703 | 4 |
| 1934 | 16729 | 26 |
Questions
What is the 1931st prime number?
16693.
Which prime number is 16693?
16693 is the 1931st prime number.
What is the sum of the first 1931 primes?
15,097,656.