What is the 5265th prime number?
The 5265th prime number is 51449. The next prime is 51461 (a gap of 12) and the one before is 51439.
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 5265th one is 51449.
- 2
51449 is prime because no prime up to ā51449 ā 226.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5265th prime is close to 5265 Ć ln(5265) ā 45115, and here it is 51449.
- 4
51449 has no twin: neither 51447 nor 51451 is prime.
Primes around the 5265th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5262 | 51431 | 4 |
| 5263 | 51437 | 6 |
| 5264 | 51439 | 2 |
| 5265 | 51449 | 10 |
| 5266 | 51461 | 12 |
| 5267 | 51473 | 12 |
| 5268 | 51479 | 6 |
Questions
What is the 5265th prime number?
51449.
Which prime number is 51449?
51449 is the 5265th prime number.
What is the sum of the first 5265 primes?
127,710,096.