What is the 5507th prime number?
The 5507th prime number is 54083. The next prime is 54091 (a gap of 8) and the one before is 54059.
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 5507th one is 54083.
- 2
54083 is prime because no prime up to ā54083 ā 232.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5507th prime is close to 5507 Ć ln(5507) ā 47436, and here it is 54083.
- 4
54083 has no twin: neither 54081 nor 54085 is prime.
Primes around the 5507th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5504 | 54037 | 24 |
| 5505 | 54049 | 12 |
| 5506 | 54059 | 10 |
| 5507 | 54083 | 24 |
| 5508 | 54091 | 8 |
| 5509 | 54101 | 10 |
| 5510 | 54121 | 20 |
Questions
What is the 5507th prime number?
54083.
Which prime number is 54083?
54083 is the 5507th prime number.
What is the sum of the first 5507 primes?
140,477,210.