What is the 5879th prime number?
The 5879th prime number is 58057. The next prime is 58061 (a gap of 4) and the one before is 58049.
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 5879th one is 58057.
- 2
58057 is prime because no prime up to ā58057 ā 240.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5879th prime is close to 5879 Ć ln(5879) ā 51025, and here it is 58057.
- 4
58057 has no twin: neither 58055 nor 58059 is prime.
Primes around the 5879th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5876 | 58031 | 4 |
| 5877 | 58043 | 12 |
| 5878 | 58049 | 6 |
| 5879 | 58057 | 8 |
| 5880 | 58061 | 4 |
| 5881 | 58067 | 6 |
| 5882 | 58073 | 6 |
Questions
What is the 5879th prime number?
58057.
Which prime number is 58057?
58057 is the 5879th prime number.
What is the sum of the first 5879 primes?
161,344,636.