What is the 5320th prime number?
The 5320th prime number is 52009. The next prime is 52021 (a gap of 12) and the one before is 51991.
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 5320th one is 52009.
- 2
52009 is prime because no prime up to ā52009 ā 228.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5320th prime is close to 5320 Ć ln(5320) ā 45641, and here it is 52009.
- 4
52009 has no twin: neither 52007 nor 52011 is prime.
Primes around the 5320th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5317 | 51973 | 2 |
| 5318 | 51977 | 4 |
| 5319 | 51991 | 14 |
| 5320 | 52009 | 18 |
| 5321 | 52021 | 12 |
| 5322 | 52027 | 6 |
| 5323 | 52051 | 24 |
Questions
What is the 5320th prime number?
52009.
Which prime number is 52009?
52009 is the 5320th prime number.
What is the sum of the first 5320 primes?
130,554,993.