What is the 5935th prime number?
The 5935th prime number is 58661. The next prime is 58679 (a gap of 18) and the one before is 58657.
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 5935th one is 58661.
- 2
58661 is prime because no prime up to ā58661 ā 242.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5935th prime is close to 5935 Ć ln(5935) ā 51567, and here it is 58661.
- 4
58661 has no twin: neither 58659 nor 58663 is prime.
Primes around the 5935th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5932 | 58613 | 10 |
| 5933 | 58631 | 18 |
| 5934 | 58657 | 26 |
| 5935 | 58661 | 4 |
| 5936 | 58679 | 18 |
| 5937 | 58687 | 8 |
| 5938 | 58693 | 6 |
Questions
What is the 5935th prime number?
58661.
Which prime number is 58661?
58661 is the 5935th prime number.
What is the sum of the first 5935 primes?
164,612,070.