What is the 5527th prime number?
The 5527th prime number is 54331. The next prime is 54347 (a gap of 16) and the one before is 54323.
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 5527th one is 54331.
- 2
54331 is prime because no prime up to ā54331 ā 233.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5527th prime is close to 5527 Ć ln(5527) ā 47628, and here it is 54331.
- 4
54331 has no twin: neither 54329 nor 54333 is prime.
Primes around the 5527th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5524 | 54311 | 18 |
| 5525 | 54319 | 8 |
| 5526 | 54323 | 4 |
| 5527 | 54331 | 8 |
| 5528 | 54347 | 16 |
| 5529 | 54361 | 14 |
| 5530 | 54367 | 6 |
Questions
What is the 5527th prime number?
54331.
Which prime number is 54331?
54331 is the 5527th prime number.
What is the sum of the first 5527 primes?
141,561,528.