What is the 5868th prime number?
The 5868th prime number is 57923. The next prime is 57943 (a gap of 20) and the one before is 57917.
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 5868th one is 57923.
- 2
57923 is prime because no prime up to ā57923 ā 240.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5868th prime is close to 5868 Ć ln(5868) ā 50918, and here it is 57923.
- 4
57923 has no twin: neither 57921 nor 57925 is prime.
Primes around the 5868th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5865 | 57899 | 18 |
| 5866 | 57901 | 2 |
| 5867 | 57917 | 16 |
| 5868 | 57923 | 6 |
| 5869 | 57943 | 20 |
| 5870 | 57947 | 4 |
| 5871 | 57973 | 26 |
Questions
What is the 5868th prime number?
57923.
Which prime number is 57923?
57923 is the 5868th prime number.
What is the sum of the first 5868 primes?
160,706,585.