What is the 5322nd prime number?
The 5322nd prime number is 52027. The next prime is 52051 (a gap of 24) and the one before is 52021.
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 5322nd one is 52027.
- 2
52027 is prime because no prime up to ā52027 ā 228.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5322nd prime is close to 5322 Ć ln(5322) ā 45661, and here it is 52027.
- 4
52027 has no twin: neither 52025 nor 52029 is prime.
Primes around the 5322nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5319 | 51991 | 14 |
| 5320 | 52009 | 18 |
| 5321 | 52021 | 12 |
| 5322 | 52027 | 6 |
| 5323 | 52051 | 24 |
| 5324 | 52057 | 6 |
| 5325 | 52067 | 10 |
Questions
What is the 5322nd prime number?
52027.
Which prime number is 52027?
52027 is the 5322nd prime number.
What is the sum of the first 5322 primes?
130,659,041.