What is the 5570th prime number?
The 5570th prime number is 54751. The next prime is 54767 (a gap of 16) and the one before is 54727.
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 5570th one is 54751.
- 2
54751 is prime because no prime up to ā54751 ā 233.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5570th prime is close to 5570 Ć ln(5570) ā 48042, and here it is 54751.
- 4
54751 has no twin: neither 54749 nor 54753 is prime.
Primes around the 5570th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5567 | 54713 | 4 |
| 5568 | 54721 | 8 |
| 5569 | 54727 | 6 |
| 5570 | 54751 | 24 |
| 5571 | 54767 | 16 |
| 5572 | 54773 | 6 |
| 5573 | 54779 | 6 |
Questions
What is the 5570th prime number?
54751.
Which prime number is 54751?
54751 is the 5570th prime number.
What is the sum of the first 5570 primes?
143,906,523.