What is the 1937th prime number?
The 1937th prime number is 16759. The next prime is 16763 (a gap of 4) and the one before is 16747.
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 1937th one is 16759.
- 2
16759 is prime because no prime up to ā16759 ā 129.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1937th prime is close to 1937 Ć ln(1937) ā 14661, and here it is 16759.
- 4
16759 has no twin: neither 16757 nor 16761 is prime.
Primes around the 1937th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1934 | 16729 | 26 |
| 1935 | 16741 | 12 |
| 1936 | 16747 | 6 |
| 1937 | 16759 | 12 |
| 1938 | 16763 | 4 |
| 1939 | 16787 | 24 |
| 1940 | 16811 | 24 |
Questions
What is the 1937th prime number?
16759.
Which prime number is 16759?
16759 is the 1937th prime number.
What is the sum of the first 1937 primes?
15,198,034.