What is the 5887th prime number?
The 5887th prime number is 58147. The next prime is 58151 (a gap of 4) and the one before is 58129.
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 5887th one is 58147.
- 2
58147 is prime because no prime up to ā58147 ā 241.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5887th prime is close to 5887 Ć ln(5887) ā 51102, and here it is 58147.
- 4
58147 has no twin: neither 58145 nor 58149 is prime.
Primes around the 5887th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5884 | 58109 | 10 |
| 5885 | 58111 | 2 |
| 5886 | 58129 | 18 |
| 5887 | 58147 | 18 |
| 5888 | 58151 | 4 |
| 5889 | 58153 | 2 |
| 5890 | 58169 | 16 |
Questions
What is the 5887th prime number?
58147.
Which prime number is 58147?
58147 is the 5887th prime number.
What is the sum of the first 5887 primes?
161,809,432.