What is the 5354th prime number?
The 5354th prime number is 52387. The next prime is 52391 (a gap of 4) and the one before is 52379.
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 5354th one is 52387.
- 2
52387 is prime because no prime up to ā52387 ā 228.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5354th prime is close to 5354 Ć ln(5354) ā 45967, and here it is 52387.
- 4
52387 has no twin: neither 52385 nor 52389 is prime.
Primes around the 5354th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5351 | 52363 | 2 |
| 5352 | 52369 | 6 |
| 5353 | 52379 | 10 |
| 5354 | 52387 | 8 |
| 5355 | 52391 | 4 |
| 5356 | 52433 | 42 |
| 5357 | 52453 | 20 |
Questions
What is the 5354th prime number?
52387.
Which prime number is 52387?
52387 is the 5354th prime number.
What is the sum of the first 5354 primes?
132,329,973.