What is the 5506th prime number?
The 5506th prime number is 54059. The next prime is 54083 (a gap of 24) and the one before is 54049.
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 5506th one is 54059.
- 2
54059 is prime because no prime up to ā54059 ā 232.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5506th prime is close to 5506 Ć ln(5506) ā 47426, and here it is 54059.
- 4
54059 has no twin: neither 54057 nor 54061 is prime.
Primes around the 5506th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5503 | 54013 | 2 |
| 5504 | 54037 | 24 |
| 5505 | 54049 | 12 |
| 5506 | 54059 | 10 |
| 5507 | 54083 | 24 |
| 5508 | 54091 | 8 |
| 5509 | 54101 | 10 |
Questions
What is the 5506th prime number?
54059.
Which prime number is 54059?
54059 is the 5506th prime number.
What is the sum of the first 5506 primes?
140,423,127.