What is the 5928th prime number?
The 5928th prime number is 58573. The next prime is 58579 (a gap of 6) and the one before is 58567.
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 5928th one is 58573.
- 2
58573 is prime because no prime up to ā58573 ā 242.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5928th prime is close to 5928 Ć ln(5928) ā 51499, and here it is 58573.
- 4
58573 has no twin: neither 58571 nor 58575 is prime.
Primes around the 5928th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5925 | 58543 | 6 |
| 5926 | 58549 | 6 |
| 5927 | 58567 | 18 |
| 5928 | 58573 | 6 |
| 5929 | 58579 | 6 |
| 5930 | 58601 | 22 |
| 5931 | 58603 | 2 |
Questions
What is the 5928th prime number?
58573.
Which prime number is 58573?
58573 is the 5928th prime number.
What is the sum of the first 5928 primes?
164,201,725.