What is the 5119th prime number?
The 5119th prime number is 49843. The next prime is 49853 (a gap of 10) and the one before is 49831.
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 5119th one is 49843.
- 2
49843 is prime because no prime up to ā49843 ā 223.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5119th prime is close to 5119 Ć ln(5119) ā 43720, and here it is 49843.
- 4
49843 has no twin: neither 49841 nor 49845 is prime.
Primes around the 5119th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5116 | 49811 | 4 |
| 5117 | 49823 | 12 |
| 5118 | 49831 | 8 |
| 5119 | 49843 | 12 |
| 5120 | 49853 | 10 |
| 5121 | 49871 | 18 |
| 5122 | 49877 | 6 |
Questions
What is the 5119th prime number?
49843.
Which prime number is 49843?
49843 is the 5119th prime number.
What is the sum of the first 5119 primes?
120,314,290.