What is the 5345th prime number?
The 5345th prime number is 52289. The next prime is 52291 (a gap of 2) and the one before is 52267.
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 5345th one is 52289.
- 2
52289 is prime because no prime up to ā52289 ā 228.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5345th prime is close to 5345 Ć ln(5345) ā 45881, and here it is 52289.
- 4
52289 is a twin prime: 52289 and 52291 are both prime.
Primes around the 5345th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5342 | 52253 | 4 |
| 5343 | 52259 | 6 |
| 5344 | 52267 | 8 |
| 5345 | 52289 | 22 |
| 5346 | 52291 | 2 |
| 5347 | 52301 | 10 |
| 5348 | 52313 | 12 |
Questions
What is the 5345th prime number?
52289.
Which prime number is 52289?
52289 is the 5345th prime number.
What is the sum of the first 5345 primes?
131,858,888.