What is the 3124th prime number?
The 3124th prime number is 28669. The next prime is 28687 (a gap of 18) and the one before is 28663.
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 3124th one is 28669.
- 2
28669 is prime because no prime up to ā28669 ā 169.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3124th prime is close to 3124 Ć ln(3124) ā 25138, and here it is 28669.
- 4
28669 has no twin: neither 28667 nor 28671 is prime.
Primes around the 3124th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3121 | 28657 | 8 |
| 3122 | 28661 | 4 |
| 3123 | 28663 | 2 |
| 3124 | 28669 | 6 |
| 3125 | 28687 | 18 |
| 3126 | 28697 | 10 |
| 3127 | 28703 | 6 |
Questions
What is the 3124th prime number?
28669.
Which prime number is 28669?
28669 is the 3124th prime number.
What is the sum of the first 3124 primes?
42,128,551.