What is the 5285th prime number?
The 5285th prime number is 51637. The next prime is 51647 (a gap of 10) and the one before is 51631.
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 5285th one is 51637.
- 2
51637 is prime because no prime up to ā51637 ā 227.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5285th prime is close to 5285 Ć ln(5285) ā 45306, and here it is 51637.
- 4
51637 has no twin: neither 51635 nor 51639 is prime.
Primes around the 5285th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5282 | 51607 | 8 |
| 5283 | 51613 | 6 |
| 5284 | 51631 | 18 |
| 5285 | 51637 | 6 |
| 5286 | 51647 | 10 |
| 5287 | 51659 | 12 |
| 5288 | 51673 | 14 |
Questions
What is the 5285th prime number?
51637.
Which prime number is 51637?
51637 is the 5285th prime number.
What is the sum of the first 5285 primes?
128,741,020.