What is the 5349th prime number?
The 5349th prime number is 52321. The next prime is 52361 (a gap of 40) and the one before is 52313.
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 5349th one is 52321.
- 2
52321 is prime because no prime up to ā52321 ā 228.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5349th prime is close to 5349 Ć ln(5349) ā 45919, and here it is 52321.
- 4
52321 has no twin: neither 52319 nor 52323 is prime.
Primes around the 5349th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5346 | 52291 | 2 |
| 5347 | 52301 | 10 |
| 5348 | 52313 | 12 |
| 5349 | 52321 | 8 |
| 5350 | 52361 | 40 |
| 5351 | 52363 | 2 |
| 5352 | 52369 | 6 |
Questions
What is the 5349th prime number?
52321.
Which prime number is 52321?
52321 is the 5349th prime number.
What is the sum of the first 5349 primes?
132,068,114.