What is the 5511th prime number?
The 5511th prime number is 54133. The next prime is 54139 (a gap of 6) and the one before is 54121.
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 5511th one is 54133.
- 2
54133 is prime because no prime up to ā54133 ā 232.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5511th prime is close to 5511 Ć ln(5511) ā 47475, and here it is 54133.
- 4
54133 has no twin: neither 54131 nor 54135 is prime.
Primes around the 5511th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5508 | 54091 | 8 |
| 5509 | 54101 | 10 |
| 5510 | 54121 | 20 |
| 5511 | 54133 | 12 |
| 5512 | 54139 | 6 |
| 5513 | 54151 | 12 |
| 5514 | 54163 | 12 |
Questions
What is the 5511th prime number?
54133.
Which prime number is 54133?
54133 is the 5511th prime number.
What is the sum of the first 5511 primes?
140,693,656.