What is the 5298th prime number?
The 5298th prime number is 51787. The next prime is 51797 (a gap of 10) and the one before is 51769.
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 5298th one is 51787.
- 2
51787 is prime because no prime up to ā51787 ā 227.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5298th prime is close to 5298 Ć ln(5298) ā 45431, and here it is 51787.
- 4
51787 has no twin: neither 51785 nor 51789 is prime.
Primes around the 5298th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5295 | 51749 | 28 |
| 5296 | 51767 | 18 |
| 5297 | 51769 | 2 |
| 5298 | 51787 | 18 |
| 5299 | 51797 | 10 |
| 5300 | 51803 | 6 |
| 5301 | 51817 | 14 |
Questions
What is the 5298th prime number?
51787.
Which prime number is 51787?
51787 is the 5298th prime number.
What is the sum of the first 5298 primes?
129,413,277.