What is the 5513th prime number?
The 5513th prime number is 54151. The next prime is 54163 (a gap of 12) and the one before is 54139.
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 5513th one is 54151.
- 2
54151 is prime because no prime up to ā54151 ā 232.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5513th prime is close to 5513 Ć ln(5513) ā 47494, and here it is 54151.
- 4
54151 has no twin: neither 54149 nor 54153 is prime.
Primes around the 5513th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5510 | 54121 | 20 |
| 5511 | 54133 | 12 |
| 5512 | 54139 | 6 |
| 5513 | 54151 | 12 |
| 5514 | 54163 | 12 |
| 5515 | 54167 | 4 |
| 5516 | 54181 | 14 |
Questions
What is the 5513th prime number?
54151.
Which prime number is 54151?
54151 is the 5513th prime number.
What is the sum of the first 5513 primes?
140,801,946.