What is the 5120th prime number?
The 5120th prime number is 49853. The next prime is 49871 (a gap of 18) and the one before is 49843.
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 5120th one is 49853.
- 2
49853 is prime because no prime up to ā49853 ā 223.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5120th prime is close to 5120 Ć ln(5120) ā 43729, and here it is 49853.
- 4
49853 has no twin: neither 49851 nor 49855 is prime.
Primes around the 5120th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5117 | 49823 | 12 |
| 5118 | 49831 | 8 |
| 5119 | 49843 | 12 |
| 5120 | 49853 | 10 |
| 5121 | 49871 | 18 |
| 5122 | 49877 | 6 |
| 5123 | 49891 | 14 |
Questions
What is the 5120th prime number?
49853.
Which prime number is 49853?
49853 is the 5120th prime number.
What is the sum of the first 5120 primes?
120,364,143.