What is the 5515th prime number?
The 5515th prime number is 54167. The next prime is 54181 (a gap of 14) and the one before is 54163.
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 5515th one is 54167.
- 2
54167 is prime because no prime up to ā54167 ā 232.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5515th prime is close to 5515 Ć ln(5515) ā 47513, and here it is 54167.
- 4
54167 has no twin: neither 54165 nor 54169 is prime.
Primes around the 5515th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5512 | 54139 | 6 |
| 5513 | 54151 | 12 |
| 5514 | 54163 | 12 |
| 5515 | 54167 | 4 |
| 5516 | 54181 | 14 |
| 5517 | 54193 | 12 |
| 5518 | 54217 | 24 |
Questions
What is the 5515th prime number?
54167.
Which prime number is 54167?
54167 is the 5515th prime number.
What is the sum of the first 5515 primes?
140,910,276.