What is the 5263rd prime number?
The 5263rd prime number is 51437. The next prime is 51439 (a gap of 2) and the one before is 51431.
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 5263rd one is 51437.
- 2
51437 is prime because no prime up to ā51437 ā 226.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5263rd prime is close to 5263 Ć ln(5263) ā 45096, and here it is 51437.
- 4
51437 is a twin prime: 51437 and 51439 are both prime.
Primes around the 5263rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5260 | 51421 | 2 |
| 5261 | 51427 | 6 |
| 5262 | 51431 | 4 |
| 5263 | 51437 | 6 |
| 5264 | 51439 | 2 |
| 5265 | 51449 | 10 |
| 5266 | 51461 | 12 |
Questions
What is the 5263rd prime number?
51437.
Which prime number is 51437?
51437 is the 5263rd prime number.
What is the sum of the first 5263 primes?
127,607,208.