What is the 3123rd prime number?
The 3123rd prime number is 28663. The next prime is 28669 (a gap of 6) and the one before is 28661.
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 3123rd one is 28663.
- 2
28663 is prime because no prime up to ā28663 ā 169.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3123rd prime is close to 3123 Ć ln(3123) ā 25129, and here it is 28663.
- 4
28663 is a twin prime: 28661 and 28663 are both prime.
Primes around the 3123rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3120 | 28649 | 6 |
| 3121 | 28657 | 8 |
| 3122 | 28661 | 4 |
| 3123 | 28663 | 2 |
| 3124 | 28669 | 6 |
| 3125 | 28687 | 18 |
| 3126 | 28697 | 10 |
Questions
What is the 3123rd prime number?
28663.
Which prime number is 28663?
28663 is the 3123rd prime number.
What is the sum of the first 3123 primes?
42,099,882.