What is the 5284th prime number?
The 5284th prime number is 51631. The next prime is 51637 (a gap of 6) and the one before is 51613.
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 5284th one is 51631.
- 2
51631 is prime because no prime up to ā51631 ā 227.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5284th prime is close to 5284 Ć ln(5284) ā 45297, and here it is 51631.
- 4
51631 has no twin: neither 51629 nor 51633 is prime.
Primes around the 5284th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5281 | 51599 | 6 |
| 5282 | 51607 | 8 |
| 5283 | 51613 | 6 |
| 5284 | 51631 | 18 |
| 5285 | 51637 | 6 |
| 5286 | 51647 | 10 |
| 5287 | 51659 | 12 |
Questions
What is the 5284th prime number?
51631.
Which prime number is 51631?
51631 is the 5284th prime number.
What is the sum of the first 5284 primes?
128,689,383.