What is the 5528th prime number?
The 5528th prime number is 54347. The next prime is 54361 (a gap of 14) and the one before is 54331.
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 5528th one is 54347.
- 2
54347 is prime because no prime up to ā54347 ā 233.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5528th prime is close to 5528 Ć ln(5528) ā 47638, and here it is 54347.
- 4
54347 has no twin: neither 54345 nor 54349 is prime.
Primes around the 5528th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5525 | 54319 | 8 |
| 5526 | 54323 | 4 |
| 5527 | 54331 | 8 |
| 5528 | 54347 | 16 |
| 5529 | 54361 | 14 |
| 5530 | 54367 | 6 |
| 5531 | 54371 | 4 |
Questions
What is the 5528th prime number?
54347.
Which prime number is 54347?
54347 is the 5528th prime number.
What is the sum of the first 5528 primes?
141,615,875.