What is the 5471st prime number?
The 5471st prime number is 53681. The next prime is 53693 (a gap of 12) and the one before is 53657.
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 5471st one is 53681.
- 2
53681 is prime because no prime up to ā53681 ā 231.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5471st prime is close to 5471 Ć ln(5471) ā 47090, and here it is 53681.
- 4
53681 has no twin: neither 53679 nor 53683 is prime.
Primes around the 5471st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5468 | 53639 | 6 |
| 5469 | 53653 | 14 |
| 5470 | 53657 | 4 |
| 5471 | 53681 | 24 |
| 5472 | 53693 | 12 |
| 5473 | 53699 | 6 |
| 5474 | 53717 | 18 |
Questions
What is the 5471st prime number?
53681.
Which prime number is 53681?
53681 is the 5471st prime number.
What is the sum of the first 5471 primes?
138,537,434.