What is the 5282nd prime number?
The 5282nd prime number is 51607. The next prime is 51613 (a gap of 6) and the one before is 51599.
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 5282nd one is 51607.
- 2
51607 is prime because no prime up to ā51607 ā 227.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5282nd prime is close to 5282 Ć ln(5282) ā 45278, and here it is 51607.
- 4
51607 has no twin: neither 51605 nor 51609 is prime.
Primes around the 5282nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5279 | 51581 | 4 |
| 5280 | 51593 | 12 |
| 5281 | 51599 | 6 |
| 5282 | 51607 | 8 |
| 5283 | 51613 | 6 |
| 5284 | 51631 | 18 |
| 5285 | 51637 | 6 |
Questions
What is the 5282nd prime number?
51607.
Which prime number is 51607?
51607 is the 5282nd prime number.
What is the sum of the first 5282 primes?
128,586,139.