What is the 1941st prime number?
The 1941st prime number is 16823. The next prime is 16829 (a gap of 6) and the one before is 16811.
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 1941st one is 16823.
- 2
16823 is prime because no prime up to ā16823 ā 129.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1941st prime is close to 1941 Ć ln(1941) ā 14695, and here it is 16823.
- 4
16823 has no twin: neither 16821 nor 16825 is prime.
Primes around the 1941st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1938 | 16763 | 4 |
| 1939 | 16787 | 24 |
| 1940 | 16811 | 24 |
| 1941 | 16823 | 12 |
| 1942 | 16829 | 6 |
| 1943 | 16831 | 2 |
| 1944 | 16843 | 12 |
Questions
What is the 1941st prime number?
16823.
Which prime number is 16823?
16823 is the 1941st prime number.
What is the sum of the first 1941 primes?
15,265,218.