What is the 5264th prime number?
The 5264th prime number is 51439. The next prime is 51449 (a gap of 10) and the one before is 51437.
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 5264th one is 51439.
- 2
51439 is prime because no prime up to ā51439 ā 226.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5264th prime is close to 5264 Ć ln(5264) ā 45105, and here it is 51439.
- 4
51439 is a twin prime: 51437 and 51439 are both prime.
Primes around the 5264th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5261 | 51427 | 6 |
| 5262 | 51431 | 4 |
| 5263 | 51437 | 6 |
| 5264 | 51439 | 2 |
| 5265 | 51449 | 10 |
| 5266 | 51461 | 12 |
| 5267 | 51473 | 12 |
Questions
What is the 5264th prime number?
51439.
Which prime number is 51439?
51439 is the 5264th prime number.
What is the sum of the first 5264 primes?
127,658,647.