What is the 5435th prime number?
The 5435th prime number is 53279. The next prime is 53281 (a gap of 2) and the one before is 53269.
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 5435th one is 53279.
- 2
53279 is prime because no prime up to ā53279 ā 230.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5435th prime is close to 5435 Ć ln(5435) ā 46744, and here it is 53279.
- 4
53279 is a twin prime: 53279 and 53281 are both prime.
Primes around the 5435th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5432 | 53239 | 6 |
| 5433 | 53267 | 28 |
| 5434 | 53269 | 2 |
| 5435 | 53279 | 10 |
| 5436 | 53281 | 2 |
| 5437 | 53299 | 18 |
| 5438 | 53309 | 10 |
Questions
What is the 5435th prime number?
53279.
Which prime number is 53279?
53279 is the 5435th prime number.
What is the sum of the first 5435 primes?
136,611,638.