What is the 5509th prime number?
The 5509th prime number is 54101. The next prime is 54121 (a gap of 20) and the one before is 54091.
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 5509th one is 54101.
- 2
54101 is prime because no prime up to ā54101 ā 232.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5509th prime is close to 5509 Ć ln(5509) ā 47455, and here it is 54101.
- 4
54101 has no twin: neither 54099 nor 54103 is prime.
Primes around the 5509th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5506 | 54059 | 10 |
| 5507 | 54083 | 24 |
| 5508 | 54091 | 8 |
| 5509 | 54101 | 10 |
| 5510 | 54121 | 20 |
| 5511 | 54133 | 12 |
| 5512 | 54139 | 6 |
Questions
What is the 5509th prime number?
54101.
Which prime number is 54101?
54101 is the 5509th prime number.
What is the sum of the first 5509 primes?
140,585,402.