What is the 5321st prime number?
The 5321st prime number is 52021. The next prime is 52027 (a gap of 6) and the one before is 52009.
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 5321st one is 52021.
- 2
52021 is prime because no prime up to ā52021 ā 228.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5321st prime is close to 5321 Ć ln(5321) ā 45651, and here it is 52021.
- 4
52021 has no twin: neither 52019 nor 52023 is prime.
Primes around the 5321st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5318 | 51977 | 4 |
| 5319 | 51991 | 14 |
| 5320 | 52009 | 18 |
| 5321 | 52021 | 12 |
| 5322 | 52027 | 6 |
| 5323 | 52051 | 24 |
| 5324 | 52057 | 6 |
Questions
What is the 5321st prime number?
52021.
Which prime number is 52021?
52021 is the 5321st prime number.
What is the sum of the first 5321 primes?
130,607,014.