What is the 5463rd prime number?
The 5463rd prime number is 53611. The next prime is 53617 (a gap of 6) and the one before is 53609.
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 5463rd one is 53611.
- 2
53611 is prime because no prime up to ā53611 ā 231.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5463rd prime is close to 5463 Ć ln(5463) ā 47013, and here it is 53611.
- 4
53611 is a twin prime: 53609 and 53611 are both prime.
Primes around the 5463rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5460 | 53593 | 2 |
| 5461 | 53597 | 4 |
| 5462 | 53609 | 12 |
| 5463 | 53611 | 2 |
| 5464 | 53617 | 6 |
| 5465 | 53623 | 6 |
| 5466 | 53629 | 6 |
Questions
What is the 5463rd prime number?
53611.
Which prime number is 53611?
53611 is the 5463rd prime number.
What is the sum of the first 5463 primes?
138,108,302.