What is the 5308th prime number?
The 5308th prime number is 51871. The next prime is 51893 (a gap of 22) and the one before is 51869.
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 5308th one is 51871.
- 2
51871 is prime because no prime up to ā51871 ā 227.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5308th prime is close to 5308 Ć ln(5308) ā 45527, and here it is 51871.
- 4
51871 is a twin prime: 51869 and 51871 are both prime.
Primes around the 5308th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5305 | 51853 | 14 |
| 5306 | 51859 | 6 |
| 5307 | 51869 | 10 |
| 5308 | 51871 | 2 |
| 5309 | 51893 | 22 |
| 5310 | 51899 | 6 |
| 5311 | 51907 | 8 |
Questions
What is the 5308th prime number?
51871.
Which prime number is 51871?
51871 is the 5308th prime number.
What is the sum of the first 5308 primes?
129,931,641.