What is the 5122nd prime number?
The 5122nd prime number is 49877. The next prime is 49891 (a gap of 14) and the one before is 49871.
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 5122nd one is 49877.
- 2
49877 is prime because no prime up to ā49877 ā 223.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5122nd prime is close to 5122 Ć ln(5122) ā 43749, and here it is 49877.
- 4
49877 has no twin: neither 49875 nor 49879 is prime.
Primes around the 5122nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5119 | 49843 | 12 |
| 5120 | 49853 | 10 |
| 5121 | 49871 | 18 |
| 5122 | 49877 | 6 |
| 5123 | 49891 | 14 |
| 5124 | 49919 | 28 |
| 5125 | 49921 | 2 |
Questions
What is the 5122nd prime number?
49877.
Which prime number is 49877?
49877 is the 5122nd prime number.
What is the sum of the first 5122 primes?
120,463,891.