What is the 5436th prime number?
The 5436th prime number is 53281. The next prime is 53299 (a gap of 18) and the one before is 53279.
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 5436th one is 53281.
- 2
53281 is prime because no prime up to ā53281 ā 230.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5436th prime is close to 5436 Ć ln(5436) ā 46754, and here it is 53281.
- 4
53281 is a twin prime: 53279 and 53281 are both prime.
Primes around the 5436th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5433 | 53267 | 28 |
| 5434 | 53269 | 2 |
| 5435 | 53279 | 10 |
| 5436 | 53281 | 2 |
| 5437 | 53299 | 18 |
| 5438 | 53309 | 10 |
| 5439 | 53323 | 14 |
Questions
What is the 5436th prime number?
53281.
Which prime number is 53281?
53281 is the 5436th prime number.
What is the sum of the first 5436 primes?
136,664,919.