What is the 5823rd prime number?
The 5823rd prime number is 57427. The next prime is 57457 (a gap of 30) and the one before is 57413.
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 5823rd one is 57427.
- 2
57427 is prime because no prime up to ā57427 ā 239.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5823rd prime is close to 5823 Ć ln(5823) ā 50483, and here it is 57427.
- 4
57427 has no twin: neither 57425 nor 57429 is prime.
Primes around the 5823rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5820 | 57389 | 6 |
| 5821 | 57397 | 8 |
| 5822 | 57413 | 16 |
| 5823 | 57427 | 14 |
| 5824 | 57457 | 30 |
| 5825 | 57467 | 10 |
| 5826 | 57487 | 20 |
Questions
What is the 5823rd prime number?
57427.
Which prime number is 57427?
57427 is the 5823rd prime number.
What is the sum of the first 5823 primes?
158,109,970.