What is the 5878th prime number?
The 5878th prime number is 58049. The next prime is 58057 (a gap of 8) and the one before is 58043.
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 5878th one is 58049.
- 2
58049 is prime because no prime up to ā58049 ā 240.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5878th prime is close to 5878 Ć ln(5878) ā 51015, and here it is 58049.
- 4
58049 has no twin: neither 58047 nor 58051 is prime.
Primes around the 5878th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5875 | 58027 | 14 |
| 5876 | 58031 | 4 |
| 5877 | 58043 | 12 |
| 5878 | 58049 | 6 |
| 5879 | 58057 | 8 |
| 5880 | 58061 | 4 |
| 5881 | 58067 | 6 |
Questions
What is the 5878th prime number?
58049.
Which prime number is 58049?
58049 is the 5878th prime number.
What is the sum of the first 5878 primes?
161,286,579.