What is the 1939th prime number?
The 1939th prime number is 16787. The next prime is 16811 (a gap of 24) and the one before is 16763.
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 1939th one is 16787.
- 2
16787 is prime because no prime up to ā16787 ā 129.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1939th prime is close to 1939 Ć ln(1939) ā 14678, and here it is 16787.
- 4
16787 has no twin: neither 16785 nor 16789 is prime.
Primes around the 1939th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1936 | 16747 | 6 |
| 1937 | 16759 | 12 |
| 1938 | 16763 | 4 |
| 1939 | 16787 | 24 |
| 1940 | 16811 | 24 |
| 1941 | 16823 | 12 |
| 1942 | 16829 | 6 |
Questions
What is the 1939th prime number?
16787.
Which prime number is 16787?
16787 is the 1939th prime number.
What is the sum of the first 1939 primes?
15,231,584.