What is the 5865th prime number?
The 5865th prime number is 57899. The next prime is 57901 (a gap of 2) and the one before is 57881.
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 5865th one is 57899.
- 2
57899 is prime because no prime up to ā57899 ā 240.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5865th prime is close to 5865 Ć ln(5865) ā 50889, and here it is 57899.
- 4
57899 is a twin prime: 57899 and 57901 are both prime.
Primes around the 5865th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5862 | 57853 | 6 |
| 5863 | 57859 | 6 |
| 5864 | 57881 | 22 |
| 5865 | 57899 | 18 |
| 5866 | 57901 | 2 |
| 5867 | 57917 | 16 |
| 5868 | 57923 | 6 |
Questions
What is the 5865th prime number?
57899.
Which prime number is 57899?
57899 is the 5865th prime number.
What is the sum of the first 5865 primes?
160,532,844.