What is the 5866th prime number?
The 5866th prime number is 57901. The next prime is 57917 (a gap of 16) and the one before is 57899.
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 5866th one is 57901.
- 2
57901 is prime because no prime up to ā57901 ā 240.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5866th prime is close to 5866 Ć ln(5866) ā 50899, and here it is 57901.
- 4
57901 is a twin prime: 57899 and 57901 are both prime.
Primes around the 5866th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5863 | 57859 | 6 |
| 5864 | 57881 | 22 |
| 5865 | 57899 | 18 |
| 5866 | 57901 | 2 |
| 5867 | 57917 | 16 |
| 5868 | 57923 | 6 |
| 5869 | 57943 | 20 |
Questions
What is the 5866th prime number?
57901.
Which prime number is 57901?
57901 is the 5866th prime number.
What is the sum of the first 5866 primes?
160,590,745.