What is the 5936th prime number?
The 5936th prime number is 58679. The next prime is 58687 (a gap of 8) and the one before is 58661.
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 5936th one is 58679.
- 2
58679 is prime because no prime up to ā58679 ā 242.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5936th prime is close to 5936 Ć ln(5936) ā 51577, and here it is 58679.
- 4
58679 has no twin: neither 58677 nor 58681 is prime.
Primes around the 5936th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5933 | 58631 | 18 |
| 5934 | 58657 | 26 |
| 5935 | 58661 | 4 |
| 5936 | 58679 | 18 |
| 5937 | 58687 | 8 |
| 5938 | 58693 | 6 |
| 5939 | 58699 | 6 |
Questions
What is the 5936th prime number?
58679.
Which prime number is 58679?
58679 is the 5936th prime number.
What is the sum of the first 5936 primes?
164,670,749.