What is the 6122nd prime number?
The 6122nd prime number is 60733. The next prime is 60737 (a gap of 4) and the one before is 60727.
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 6122nd one is 60733.
- 2
60733 is prime because no prime up to ā60733 ā 246.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6122nd prime is close to 6122 Ć ln(6122) ā 53382, and here it is 60733.
- 4
60733 has no twin: neither 60731 nor 60735 is prime.
Primes around the 6122nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6119 | 60703 | 14 |
| 6120 | 60719 | 16 |
| 6121 | 60727 | 8 |
| 6122 | 60733 | 6 |
| 6123 | 60737 | 4 |
| 6124 | 60757 | 20 |
| 6125 | 60761 | 4 |
Questions
What is the 6122nd prime number?
60733.
Which prime number is 60733?
60733 is the 6122nd prime number.
What is the sum of the first 6122 primes?
175,772,731.