What is the 5929th prime number?
The 5929th prime number is 58579. The next prime is 58601 (a gap of 22) and the one before is 58573.
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 5929th one is 58579.
- 2
58579 is prime because no prime up to ā58579 ā 242.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5929th prime is close to 5929 Ć ln(5929) ā 51509, and here it is 58579.
- 4
58579 has no twin: neither 58577 nor 58581 is prime.
Primes around the 5929th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5926 | 58549 | 6 |
| 5927 | 58567 | 18 |
| 5928 | 58573 | 6 |
| 5929 | 58579 | 6 |
| 5930 | 58601 | 22 |
| 5931 | 58603 | 2 |
| 5932 | 58613 | 10 |
Questions
What is the 5929th prime number?
58579.
Which prime number is 58579?
58579 is the 5929th prime number.
What is the sum of the first 5929 primes?
164,260,304.