What is the 5529th prime number?
The 5529th prime number is 54361. The next prime is 54367 (a gap of 6) and the one before is 54347.
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 5529th one is 54361.
- 2
54361 is prime because no prime up to ā54361 ā 233.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5529th prime is close to 5529 Ć ln(5529) ā 47648, and here it is 54361.
- 4
54361 has no twin: neither 54359 nor 54363 is prime.
Primes around the 5529th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5526 | 54323 | 4 |
| 5527 | 54331 | 8 |
| 5528 | 54347 | 16 |
| 5529 | 54361 | 14 |
| 5530 | 54367 | 6 |
| 5531 | 54371 | 4 |
| 5532 | 54377 | 6 |
Questions
What is the 5529th prime number?
54361.
Which prime number is 54361?
54361 is the 5529th prime number.
What is the sum of the first 5529 primes?
141,670,236.