What is the 5295th prime number?
The 5295th prime number is 51749. The next prime is 51767 (a gap of 18) and the one before is 51721.
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 5295th one is 51749.
- 2
51749 is prime because no prime up to ā51749 ā 227.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5295th prime is close to 5295 Ć ln(5295) ā 45402, and here it is 51749.
- 4
51749 has no twin: neither 51747 nor 51751 is prime.
Primes around the 5295th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5292 | 51713 | 22 |
| 5293 | 51719 | 6 |
| 5294 | 51721 | 2 |
| 5295 | 51749 | 28 |
| 5296 | 51767 | 18 |
| 5297 | 51769 | 2 |
| 5298 | 51787 | 18 |
Questions
What is the 5295th prime number?
51749.
Which prime number is 51749?
51749 is the 5295th prime number.
What is the sum of the first 5295 primes?
129,257,954.