What is the 6123rd prime number?
The 6123rd prime number is 60737. The next prime is 60757 (a gap of 20) and the one before is 60733.
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 6123rd one is 60737.
- 2
60737 is prime because no prime up to ā60737 ā 246.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6123rd prime is close to 6123 Ć ln(6123) ā 53391, and here it is 60737.
- 4
60737 has no twin: neither 60735 nor 60739 is prime.
Primes around the 6123rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6120 | 60719 | 16 |
| 6121 | 60727 | 8 |
| 6122 | 60733 | 6 |
| 6123 | 60737 | 4 |
| 6124 | 60757 | 20 |
| 6125 | 60761 | 4 |
| 6126 | 60763 | 2 |
Questions
What is the 6123rd prime number?
60737.
Which prime number is 60737?
60737 is the 6123rd prime number.
What is the sum of the first 6123 primes?
175,833,468.