What is the 5508th prime number?
The 5508th prime number is 54091. The next prime is 54101 (a gap of 10) and the one before is 54083.
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 5508th one is 54091.
- 2
54091 is prime because no prime up to ā54091 ā 232.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5508th prime is close to 5508 Ć ln(5508) ā 47446, and here it is 54091.
- 4
54091 has no twin: neither 54089 nor 54093 is prime.
Primes around the 5508th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5505 | 54049 | 12 |
| 5506 | 54059 | 10 |
| 5507 | 54083 | 24 |
| 5508 | 54091 | 8 |
| 5509 | 54101 | 10 |
| 5510 | 54121 | 20 |
| 5511 | 54133 | 12 |
Questions
What is the 5508th prime number?
54091.
Which prime number is 54091?
54091 is the 5508th prime number.
What is the sum of the first 5508 primes?
140,531,301.