What is the 5864th prime number?
The 5864th prime number is 57881. The next prime is 57899 (a gap of 18) and the one before is 57859.
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 5864th one is 57881.
- 2
57881 is prime because no prime up to ā57881 ā 240.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5864th prime is close to 5864 Ć ln(5864) ā 50880, and here it is 57881.
- 4
57881 has no twin: neither 57879 nor 57883 is prime.
Primes around the 5864th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5861 | 57847 | 8 |
| 5862 | 57853 | 6 |
| 5863 | 57859 | 6 |
| 5864 | 57881 | 22 |
| 5865 | 57899 | 18 |
| 5866 | 57901 | 2 |
| 5867 | 57917 | 16 |
Questions
What is the 5864th prime number?
57881.
Which prime number is 57881?
57881 is the 5864th prime number.
What is the sum of the first 5864 primes?
160,474,945.