What is the 5514th prime number?
The 5514th prime number is 54163. The next prime is 54167 (a gap of 4) and the one before is 54151.
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 5514th one is 54163.
- 2
54163 is prime because no prime up to ā54163 ā 232.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5514th prime is close to 5514 Ć ln(5514) ā 47503, and here it is 54163.
- 4
54163 has no twin: neither 54161 nor 54165 is prime.
Primes around the 5514th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5511 | 54133 | 12 |
| 5512 | 54139 | 6 |
| 5513 | 54151 | 12 |
| 5514 | 54163 | 12 |
| 5515 | 54167 | 4 |
| 5516 | 54181 | 14 |
| 5517 | 54193 | 12 |
Questions
What is the 5514th prime number?
54163.
Which prime number is 54163?
54163 is the 5514th prime number.
What is the sum of the first 5514 primes?
140,856,109.