What is the 5289th prime number?
The 5289th prime number is 51679. The next prime is 51683 (a gap of 4) and the one before is 51673.
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 5289th one is 51679.
- 2
51679 is prime because no prime up to ā51679 ā 227.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5289th prime is close to 5289 Ć ln(5289) ā 45345, and here it is 51679.
- 4
51679 has no twin: neither 51677 nor 51681 is prime.
Primes around the 5289th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5286 | 51647 | 10 |
| 5287 | 51659 | 12 |
| 5288 | 51673 | 14 |
| 5289 | 51679 | 6 |
| 5290 | 51683 | 4 |
| 5291 | 51691 | 8 |
| 5292 | 51713 | 22 |
Questions
What is the 5289th prime number?
51679.
Which prime number is 51679?
51679 is the 5289th prime number.
What is the sum of the first 5289 primes?
128,947,678.