What is the 5306th prime number?
The 5306th prime number is 51859. The next prime is 51869 (a gap of 10) and the one before is 51853.
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 5306th one is 51859.
- 2
51859 is prime because no prime up to ā51859 ā 227.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5306th prime is close to 5306 Ć ln(5306) ā 45507, and here it is 51859.
- 4
51859 has no twin: neither 51857 nor 51861 is prime.
Primes around the 5306th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5303 | 51829 | 2 |
| 5304 | 51839 | 10 |
| 5305 | 51853 | 14 |
| 5306 | 51859 | 6 |
| 5307 | 51869 | 10 |
| 5308 | 51871 | 2 |
| 5309 | 51893 | 22 |
Questions
What is the 5306th prime number?
51859.
Which prime number is 51859?
51859 is the 5306th prime number.
What is the sum of the first 5306 primes?
129,827,901.