What is the 5530th prime number?
The 5530th prime number is 54367. The next prime is 54371 (a gap of 4) and the one before is 54361.
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 5530th one is 54367.
- 2
54367 is prime because no prime up to ā54367 ā 233.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5530th prime is close to 5530 Ć ln(5530) ā 47657, and here it is 54367.
- 4
54367 has no twin: neither 54365 nor 54369 is prime.
Primes around the 5530th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5527 | 54331 | 8 |
| 5528 | 54347 | 16 |
| 5529 | 54361 | 14 |
| 5530 | 54367 | 6 |
| 5531 | 54371 | 4 |
| 5532 | 54377 | 6 |
| 5533 | 54401 | 24 |
Questions
What is the 5530th prime number?
54367.
Which prime number is 54367?
54367 is the 5530th prime number.
What is the sum of the first 5530 primes?
141,724,603.