What is the 5516th prime number?
The 5516th prime number is 54181. The next prime is 54193 (a gap of 12) and the one before is 54167.
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 5516th one is 54181.
- 2
54181 is prime because no prime up to ā54181 ā 232.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5516th prime is close to 5516 Ć ln(5516) ā 47523, and here it is 54181.
- 4
54181 has no twin: neither 54179 nor 54183 is prime.
Primes around the 5516th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5513 | 54151 | 12 |
| 5514 | 54163 | 12 |
| 5515 | 54167 | 4 |
| 5516 | 54181 | 14 |
| 5517 | 54193 | 12 |
| 5518 | 54217 | 24 |
| 5519 | 54251 | 34 |
Questions
What is the 5516th prime number?
54181.
Which prime number is 54181?
54181 is the 5516th prime number.
What is the sum of the first 5516 primes?
140,964,457.