What is the 5262nd prime number?
The 5262nd prime number is 51431. The next prime is 51437 (a gap of 6) and the one before is 51427.
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 5262nd one is 51431.
- 2
51431 is prime because no prime up to ā51431 ā 226.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5262nd prime is close to 5262 Ć ln(5262) ā 45086, and here it is 51431.
- 4
51431 has no twin: neither 51429 nor 51433 is prime.
Primes around the 5262nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5259 | 51419 | 6 |
| 5260 | 51421 | 2 |
| 5261 | 51427 | 6 |
| 5262 | 51431 | 4 |
| 5263 | 51437 | 6 |
| 5264 | 51439 | 2 |
| 5265 | 51449 | 10 |
Questions
What is the 5262nd prime number?
51431.
Which prime number is 51431?
51431 is the 5262nd prime number.
What is the sum of the first 5262 primes?
127,555,771.