What is the 5470th prime number?
The 5470th prime number is 53657. The next prime is 53681 (a gap of 24) and the one before is 53653.
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 5470th one is 53657.
- 2
53657 is prime because no prime up to ā53657 ā 231.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5470th prime is close to 5470 Ć ln(5470) ā 47080, and here it is 53657.
- 4
53657 has no twin: neither 53655 nor 53659 is prime.
Primes around the 5470th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5467 | 53633 | 4 |
| 5468 | 53639 | 6 |
| 5469 | 53653 | 14 |
| 5470 | 53657 | 4 |
| 5471 | 53681 | 24 |
| 5472 | 53693 | 12 |
| 5473 | 53699 | 6 |
Questions
What is the 5470th prime number?
53657.
Which prime number is 53657?
53657 is the 5470th prime number.
What is the sum of the first 5470 primes?
138,483,753.