What is the 5348th prime number?
The 5348th prime number is 52313. The next prime is 52321 (a gap of 8) and the one before is 52301.
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 5348th one is 52313.
- 2
52313 is prime because no prime up to ā52313 ā 228.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5348th prime is close to 5348 Ć ln(5348) ā 45910, and here it is 52313.
- 4
52313 has no twin: neither 52311 nor 52315 is prime.
Primes around the 5348th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5345 | 52289 | 22 |
| 5346 | 52291 | 2 |
| 5347 | 52301 | 10 |
| 5348 | 52313 | 12 |
| 5349 | 52321 | 8 |
| 5350 | 52361 | 40 |
| 5351 | 52363 | 2 |
Questions
What is the 5348th prime number?
52313.
Which prime number is 52313?
52313 is the 5348th prime number.
What is the sum of the first 5348 primes?
132,015,793.