What is the 5571st prime number?
The 5571st prime number is 54767. The next prime is 54773 (a gap of 6) and the one before is 54751.
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 5571st one is 54767.
- 2
54767 is prime because no prime up to ā54767 ā 234.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5571st prime is close to 5571 Ć ln(5571) ā 48052, and here it is 54767.
- 4
54767 has no twin: neither 54765 nor 54769 is prime.
Primes around the 5571st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5568 | 54721 | 8 |
| 5569 | 54727 | 6 |
| 5570 | 54751 | 24 |
| 5571 | 54767 | 16 |
| 5572 | 54773 | 6 |
| 5573 | 54779 | 6 |
| 5574 | 54787 | 8 |
Questions
What is the 5571st prime number?
54767.
Which prime number is 54767?
54767 is the 5571st prime number.
What is the sum of the first 5571 primes?
143,961,290.