What is the 5526th prime number?
The 5526th prime number is 54323. The next prime is 54331 (a gap of 8) and the one before is 54319.
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 5526th one is 54323.
- 2
54323 is prime because no prime up to ā54323 ā 233.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5526th prime is close to 5526 Ć ln(5526) ā 47619, and here it is 54323.
- 4
54323 has no twin: neither 54321 nor 54325 is prime.
Primes around the 5526th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5523 | 54293 | 6 |
| 5524 | 54311 | 18 |
| 5525 | 54319 | 8 |
| 5526 | 54323 | 4 |
| 5527 | 54331 | 8 |
| 5528 | 54347 | 16 |
| 5529 | 54361 | 14 |
Questions
What is the 5526th prime number?
54323.
Which prime number is 54323?
54323 is the 5526th prime number.
What is the sum of the first 5526 primes?
141,507,197.