What is the 5307th prime number?
The 5307th prime number is 51869. The next prime is 51871 (a gap of 2) and the one before is 51859.
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 5307th one is 51869.
- 2
51869 is prime because no prime up to ā51869 ā 227.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5307th prime is close to 5307 Ć ln(5307) ā 45517, and here it is 51869.
- 4
51869 is a twin prime: 51869 and 51871 are both prime.
Primes around the 5307th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5304 | 51839 | 10 |
| 5305 | 51853 | 14 |
| 5306 | 51859 | 6 |
| 5307 | 51869 | 10 |
| 5308 | 51871 | 2 |
| 5309 | 51893 | 22 |
| 5310 | 51899 | 6 |
Questions
What is the 5307th prime number?
51869.
Which prime number is 51869?
51869 is the 5307th prime number.
What is the sum of the first 5307 primes?
129,879,770.