What is the 5877th prime number?
The 5877th prime number is 58043. The next prime is 58049 (a gap of 6) and the one before is 58031.
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 5877th one is 58043.
- 2
58043 is prime because no prime up to ā58043 ā 240.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5877th prime is close to 5877 Ć ln(5877) ā 51005, and here it is 58043.
- 4
58043 has no twin: neither 58041 nor 58045 is prime.
Primes around the 5877th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5874 | 58013 | 22 |
| 5875 | 58027 | 14 |
| 5876 | 58031 | 4 |
| 5877 | 58043 | 12 |
| 5878 | 58049 | 6 |
| 5879 | 58057 | 8 |
| 5880 | 58061 | 4 |
Questions
What is the 5877th prime number?
58043.
Which prime number is 58043?
58043 is the 5877th prime number.
What is the sum of the first 5877 primes?
161,228,530.