What is the 5305th prime number?
The 5305th prime number is 51853. The next prime is 51859 (a gap of 6) and the one before is 51839.
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 5305th one is 51853.
- 2
51853 is prime because no prime up to ā51853 ā 227.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5305th prime is close to 5305 Ć ln(5305) ā 45498, and here it is 51853.
- 4
51853 has no twin: neither 51851 nor 51855 is prime.
Primes around the 5305th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5302 | 51827 | 10 |
| 5303 | 51829 | 2 |
| 5304 | 51839 | 10 |
| 5305 | 51853 | 14 |
| 5306 | 51859 | 6 |
| 5307 | 51869 | 10 |
| 5308 | 51871 | 2 |
Questions
What is the 5305th prime number?
51853.
Which prime number is 51853?
51853 is the 5305th prime number.
What is the sum of the first 5305 primes?
129,776,042.