What is the 5283rd prime number?
The 5283rd prime number is 51613. The next prime is 51631 (a gap of 18) and the one before is 51607.
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 5283rd one is 51613.
- 2
51613 is prime because no prime up to ā51613 ā 227.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5283rd prime is close to 5283 Ć ln(5283) ā 45287, and here it is 51613.
- 4
51613 has no twin: neither 51611 nor 51615 is prime.
Primes around the 5283rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5280 | 51593 | 12 |
| 5281 | 51599 | 6 |
| 5282 | 51607 | 8 |
| 5283 | 51613 | 6 |
| 5284 | 51631 | 18 |
| 5285 | 51637 | 6 |
| 5286 | 51647 | 10 |
Questions
What is the 5283rd prime number?
51613.
Which prime number is 51613?
51613 is the 5283rd prime number.
What is the sum of the first 5283 primes?
128,637,752.