What is the 5344th prime number?
The 5344th prime number is 52267. The next prime is 52289 (a gap of 22) and the one before is 52259.
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 5344th one is 52267.
- 2
52267 is prime because no prime up to ā52267 ā 228.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5344th prime is close to 5344 Ć ln(5344) ā 45871, and here it is 52267.
- 4
52267 has no twin: neither 52265 nor 52269 is prime.
Primes around the 5344th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5341 | 52249 | 12 |
| 5342 | 52253 | 4 |
| 5343 | 52259 | 6 |
| 5344 | 52267 | 8 |
| 5345 | 52289 | 22 |
| 5346 | 52291 | 2 |
| 5347 | 52301 | 10 |
Questions
What is the 5344th prime number?
52267.
Which prime number is 52267?
52267 is the 5344th prime number.
What is the sum of the first 5344 primes?
131,806,599.