What is the 1942nd prime number?
The 1942nd prime number is 16829. The next prime is 16831 (a gap of 2) and the one before is 16823.
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 1942nd one is 16829.
- 2
16829 is prime because no prime up to ā16829 ā 129.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1942nd prime is close to 1942 Ć ln(1942) ā 14704, and here it is 16829.
- 4
16829 is a twin prime: 16829 and 16831 are both prime.
Primes around the 1942nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1939 | 16787 | 24 |
| 1940 | 16811 | 24 |
| 1941 | 16823 | 12 |
| 1942 | 16829 | 6 |
| 1943 | 16831 | 2 |
| 1944 | 16843 | 12 |
| 1945 | 16871 | 28 |
Questions
What is the 1942nd prime number?
16829.
Which prime number is 16829?
16829 is the 1942nd prime number.
What is the sum of the first 1942 primes?
15,282,047.