What is the 1938th prime number?
The 1938th prime number is 16763. The next prime is 16787 (a gap of 24) and the one before is 16759.
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 1938th one is 16763.
- 2
16763 is prime because no prime up to ā16763 ā 129.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1938th prime is close to 1938 Ć ln(1938) ā 14670, and here it is 16763.
- 4
16763 has no twin: neither 16761 nor 16765 is prime.
Primes around the 1938th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1935 | 16741 | 12 |
| 1936 | 16747 | 6 |
| 1937 | 16759 | 12 |
| 1938 | 16763 | 4 |
| 1939 | 16787 | 24 |
| 1940 | 16811 | 24 |
| 1941 | 16823 | 12 |
Questions
What is the 1938th prime number?
16763.
Which prime number is 16763?
16763 is the 1938th prime number.
What is the sum of the first 1938 primes?
15,214,797.