What is the 5796th prime number?
The 5796th prime number is 57149. The next prime is 57163 (a gap of 14) and the one before is 57143.
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 5796th one is 57149.
- 2
57149 is prime because no prime up to ā57149 ā 239.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5796th prime is close to 5796 Ć ln(5796) ā 50222, and here it is 57149.
- 4
57149 has no twin: neither 57147 nor 57151 is prime.
Primes around the 5796th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5793 | 57131 | 12 |
| 5794 | 57139 | 8 |
| 5795 | 57143 | 4 |
| 5796 | 57149 | 6 |
| 5797 | 57163 | 14 |
| 5798 | 57173 | 10 |
| 5799 | 57179 | 6 |
Questions
What is the 5796th prime number?
57149.
Which prime number is 57149?
57149 is the 5796th prime number.
What is the sum of the first 5796 primes?
156,563,157.