What is the 5346th prime number?
The 5346th prime number is 52291. The next prime is 52301 (a gap of 10) and the one before is 52289.
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 5346th one is 52291.
- 2
52291 is prime because no prime up to ā52291 ā 228.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5346th prime is close to 5346 Ć ln(5346) ā 45891, and here it is 52291.
- 4
52291 is a twin prime: 52289 and 52291 are both prime.
Primes around the 5346th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5343 | 52259 | 6 |
| 5344 | 52267 | 8 |
| 5345 | 52289 | 22 |
| 5346 | 52291 | 2 |
| 5347 | 52301 | 10 |
| 5348 | 52313 | 12 |
| 5349 | 52321 | 8 |
Questions
What is the 5346th prime number?
52291.
Which prime number is 52291?
52291 is the 5346th prime number.
What is the sum of the first 5346 primes?
131,911,179.