What is the 5323rd prime number?
The 5323rd prime number is 52051. The next prime is 52057 (a gap of 6) and the one before is 52027.
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 5323rd one is 52051.
- 2
52051 is prime because no prime up to ā52051 ā 228.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5323rd prime is close to 5323 Ć ln(5323) ā 45670, and here it is 52051.
- 4
52051 has no twin: neither 52049 nor 52053 is prime.
Primes around the 5323rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5320 | 52009 | 18 |
| 5321 | 52021 | 12 |
| 5322 | 52027 | 6 |
| 5323 | 52051 | 24 |
| 5324 | 52057 | 6 |
| 5325 | 52067 | 10 |
| 5326 | 52069 | 2 |
Questions
What is the 5323rd prime number?
52051.
Which prime number is 52051?
52051 is the 5323rd prime number.
What is the sum of the first 5323 primes?
130,711,092.