What is the 124th prime number?
The 124th prime number is 683. The next prime is 691 (a gap of 8) and the one before is 677.
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 124th one is 683.
- 2
683 is prime because no prime up to ā683 ā 26.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 124th prime is close to 124 Ć ln(124) ā 598, and here it is 683.
- 4
683 has no twin: neither 681 nor 685 is prime.
Primes around the 124th
| Position | Prime | Gap from the previous |
|---|---|---|
| 121 | 661 | 2 |
| 122 | 673 | 12 |
| 123 | 677 | 4 |
| 124 | 683 | 6 |
| 125 | 691 | 8 |
| 126 | 701 | 10 |
| 127 | 709 | 8 |
Questions
What is the 124th prime number?
683.
Which prime number is 683?
683 is the 124th prime number.
What is the sum of the first 124 primes?
38,921.