What is the 5268th prime number?
The 5268th prime number is 51479. The next prime is 51481 (a gap of 2) and the one before is 51473.
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 5268th one is 51479.
- 2
51479 is prime because no prime up to ā51479 ā 226.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5268th prime is close to 5268 Ć ln(5268) ā 45144, and here it is 51479.
- 4
51479 is a twin prime: 51479 and 51481 are both prime.
Primes around the 5268th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5265 | 51449 | 10 |
| 5266 | 51461 | 12 |
| 5267 | 51473 | 12 |
| 5268 | 51479 | 6 |
| 5269 | 51481 | 2 |
| 5270 | 51487 | 6 |
| 5271 | 51503 | 16 |
Questions
What is the 5268th prime number?
51479.
Which prime number is 51479?
51479 is the 5268th prime number.
What is the sum of the first 5268 primes?
127,864,509.