What is the 5937th prime number?
The 5937th prime number is 58687. The next prime is 58693 (a gap of 6) and the one before is 58679.
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 5937th one is 58687.
- 2
58687 is prime because no prime up to ā58687 ā 242.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5937th prime is close to 5937 Ć ln(5937) ā 51586, and here it is 58687.
- 4
58687 has no twin: neither 58685 nor 58689 is prime.
Primes around the 5937th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5934 | 58657 | 26 |
| 5935 | 58661 | 4 |
| 5936 | 58679 | 18 |
| 5937 | 58687 | 8 |
| 5938 | 58693 | 6 |
| 5939 | 58699 | 6 |
| 5940 | 58711 | 12 |
Questions
What is the 5937th prime number?
58687.
Which prime number is 58687?
58687 is the 5937th prime number.
What is the sum of the first 5937 primes?
164,729,436.