What is the 5786th prime number?
The 5786th prime number is 57059. The next prime is 57073 (a gap of 14) and the one before is 57047.
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 5786th one is 57059.
- 2
57059 is prime because no prime up to ā57059 ā 238.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5786th prime is close to 5786 Ć ln(5786) ā 50125, and here it is 57059.
- 4
57059 has no twin: neither 57057 nor 57061 is prime.
Primes around the 5786th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5783 | 57037 | 38 |
| 5784 | 57041 | 4 |
| 5785 | 57047 | 6 |
| 5786 | 57059 | 12 |
| 5787 | 57073 | 14 |
| 5788 | 57077 | 4 |
| 5789 | 57089 | 12 |
Questions
What is the 5786th prime number?
57059.
Which prime number is 57059?
57059 is the 5786th prime number.
What is the sum of the first 5786 primes?
155,992,033.