What is the 1943rd prime number?
The 1943rd prime number is 16831. The next prime is 16843 (a gap of 12) and the one before is 16829.
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 1943rd one is 16831.
- 2
16831 is prime because no prime up to ā16831 ā 129.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1943rd prime is close to 1943 Ć ln(1943) ā 14712, and here it is 16831.
- 4
16831 is a twin prime: 16829 and 16831 are both prime.
Primes around the 1943rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1940 | 16811 | 24 |
| 1941 | 16823 | 12 |
| 1942 | 16829 | 6 |
| 1943 | 16831 | 2 |
| 1944 | 16843 | 12 |
| 1945 | 16871 | 28 |
| 1946 | 16879 | 8 |
Questions
What is the 1943rd prime number?
16831.
Which prime number is 16831?
16831 is the 1943rd prime number.
What is the sum of the first 1943 primes?
15,298,878.