What is the 5269th prime number?
The 5269th prime number is 51481. The next prime is 51487 (a gap of 6) and the one before is 51479.
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 5269th one is 51481.
- 2
51481 is prime because no prime up to ā51481 ā 226.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5269th prime is close to 5269 Ć ln(5269) ā 45153, and here it is 51481.
- 4
51481 is a twin prime: 51479 and 51481 are both prime.
Primes around the 5269th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5266 | 51461 | 12 |
| 5267 | 51473 | 12 |
| 5268 | 51479 | 6 |
| 5269 | 51481 | 2 |
| 5270 | 51487 | 6 |
| 5271 | 51503 | 16 |
| 5272 | 51511 | 8 |
Questions
What is the 5269th prime number?
51481.
Which prime number is 51481?
51481 is the 5269th prime number.
What is the sum of the first 5269 primes?
127,915,990.