What is the 1944th prime number?
The 1944th prime number is 16843. The next prime is 16871 (a gap of 28) and the one before is 16831.
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 1944th one is 16843.
- 2
16843 is prime because no prime up to ā16843 ā 129.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1944th prime is close to 1944 Ć ln(1944) ā 14721, and here it is 16843.
- 4
16843 has no twin: neither 16841 nor 16845 is prime.
Primes around the 1944th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1941 | 16823 | 12 |
| 1942 | 16829 | 6 |
| 1943 | 16831 | 2 |
| 1944 | 16843 | 12 |
| 1945 | 16871 | 28 |
| 1946 | 16879 | 8 |
| 1947 | 16883 | 4 |
Questions
What is the 1944th prime number?
16843.
Which prime number is 16843?
16843 is the 1944th prime number.
What is the sum of the first 1944 primes?
15,315,721.