What is the 1940th prime number?
The 1940th prime number is 16811. The next prime is 16823 (a gap of 12) and the one before is 16787.
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 1940th one is 16811.
- 2
16811 is prime because no prime up to ā16811 ā 129.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1940th prime is close to 1940 Ć ln(1940) ā 14687, and here it is 16811.
- 4
16811 has no twin: neither 16809 nor 16813 is prime.
Primes around the 1940th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1937 | 16759 | 12 |
| 1938 | 16763 | 4 |
| 1939 | 16787 | 24 |
| 1940 | 16811 | 24 |
| 1941 | 16823 | 12 |
| 1942 | 16829 | 6 |
| 1943 | 16831 | 2 |
Questions
What is the 1940th prime number?
16811.
Which prime number is 16811?
16811 is the 1940th prime number.
What is the sum of the first 1940 primes?
15,248,395.