What is the 5512th prime number?
The 5512th prime number is 54139. The next prime is 54151 (a gap of 12) and the one before is 54133.
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 5512th one is 54139.
- 2
54139 is prime because no prime up to ā54139 ā 232.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5512th prime is close to 5512 Ć ln(5512) ā 47484, and here it is 54139.
- 4
54139 has no twin: neither 54137 nor 54141 is prime.
Primes around the 5512th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5509 | 54101 | 10 |
| 5510 | 54121 | 20 |
| 5511 | 54133 | 12 |
| 5512 | 54139 | 6 |
| 5513 | 54151 | 12 |
| 5514 | 54163 | 12 |
| 5515 | 54167 | 4 |
Questions
What is the 5512th prime number?
54139.
Which prime number is 54139?
54139 is the 5512th prime number.
What is the sum of the first 5512 primes?
140,747,795.