What is the 5118th prime number?
The 5118th prime number is 49831. The next prime is 49843 (a gap of 12) and the one before is 49823.
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 5118th one is 49831.
- 2
49831 is prime because no prime up to ā49831 ā 223.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5118th prime is close to 5118 Ć ln(5118) ā 43710, and here it is 49831.
- 4
49831 has no twin: neither 49829 nor 49833 is prime.
Primes around the 5118th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5115 | 49807 | 6 |
| 5116 | 49811 | 4 |
| 5117 | 49823 | 12 |
| 5118 | 49831 | 8 |
| 5119 | 49843 | 12 |
| 5120 | 49853 | 10 |
| 5121 | 49871 | 18 |
Questions
What is the 5118th prime number?
49831.
Which prime number is 49831?
49831 is the 5118th prime number.
What is the sum of the first 5118 primes?
120,264,447.