What is the 5525th prime number?
The 5525th prime number is 54319. The next prime is 54323 (a gap of 4) and the one before is 54311.
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 5525th one is 54319.
- 2
54319 is prime because no prime up to ā54319 ā 233.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5525th prime is close to 5525 Ć ln(5525) ā 47609, and here it is 54319.
- 4
54319 has no twin: neither 54317 nor 54321 is prime.
Primes around the 5525th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5522 | 54287 | 10 |
| 5523 | 54293 | 6 |
| 5524 | 54311 | 18 |
| 5525 | 54319 | 8 |
| 5526 | 54323 | 4 |
| 5527 | 54331 | 8 |
| 5528 | 54347 | 16 |
Questions
What is the 5525th prime number?
54319.
Which prime number is 54319?
54319 is the 5525th prime number.
What is the sum of the first 5525 primes?
141,452,874.