What is the 5930th prime number?
The 5930th prime number is 58601. The next prime is 58603 (a gap of 2) and the one before is 58579.
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 5930th one is 58601.
- 2
58601 is prime because no prime up to ā58601 ā 242.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5930th prime is close to 5930 Ć ln(5930) ā 51519, and here it is 58601.
- 4
58601 is a twin prime: 58601 and 58603 are both prime.
Primes around the 5930th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5927 | 58567 | 18 |
| 5928 | 58573 | 6 |
| 5929 | 58579 | 6 |
| 5930 | 58601 | 22 |
| 5931 | 58603 | 2 |
| 5932 | 58613 | 10 |
| 5933 | 58631 | 18 |
Questions
What is the 5930th prime number?
58601.
Which prime number is 58601?
58601 is the 5930th prime number.
What is the sum of the first 5930 primes?
164,318,905.