What is the 5572nd prime number?
The 5572nd prime number is 54773. The next prime is 54779 (a gap of 6) and the one before is 54767.
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, ⦠The 5572nd one is 54773.
- 2
54773 is prime because no prime up to ā54773 ā 234.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5572nd prime is close to 5572 Ć ln(5572) ā 48061, and here it is 54773.
- 4
54773 has no twin: neither 54771 nor 54775 is prime.
Primes around the 5572nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5569 | 54727 | 6 |
| 5570 | 54751 | 24 |
| 5571 | 54767 | 16 |
| 5572 | 54773 | 6 |
| 5573 | 54779 | 6 |
| 5574 | 54787 | 8 |
| 5575 | 54799 | 12 |
Questions
What is the 5572nd prime number?
54773.
Which prime number is 54773?
54773 is the 5572nd prime number.
What is the sum of the first 5572 primes?
144,016,063.