What is the 5309th prime number?
The 5309th prime number is 51893. The next prime is 51899 (a gap of 6) and the one before is 51871.
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 5309th one is 51893.
- 2
51893 is prime because no prime up to ā51893 ā 227.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5309th prime is close to 5309 Ć ln(5309) ā 45536, and here it is 51893.
- 4
51893 has no twin: neither 51891 nor 51895 is prime.
Primes around the 5309th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5306 | 51859 | 6 |
| 5307 | 51869 | 10 |
| 5308 | 51871 | 2 |
| 5309 | 51893 | 22 |
| 5310 | 51899 | 6 |
| 5311 | 51907 | 8 |
| 5312 | 51913 | 6 |
Questions
What is the 5309th prime number?
51893.
Which prime number is 51893?
51893 is the 5309th prime number.
What is the sum of the first 5309 primes?
129,983,534.