What is the 3126th prime number?
The 3126th prime number is 28697. The next prime is 28703 (a gap of 6) and the one before is 28687.
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 3126th one is 28697.
- 2
28697 is prime because no prime up to ā28697 ā 169.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3126th prime is close to 3126 Ć ln(3126) ā 25157, and here it is 28697.
- 4
28697 has no twin: neither 28695 nor 28699 is prime.
Primes around the 3126th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3123 | 28663 | 2 |
| 3124 | 28669 | 6 |
| 3125 | 28687 | 18 |
| 3126 | 28697 | 10 |
| 3127 | 28703 | 6 |
| 3128 | 28711 | 8 |
| 3129 | 28723 | 12 |
Questions
What is the 3126th prime number?
28697.
Which prime number is 28697?
28697 is the 3126th prime number.
What is the sum of the first 3126 primes?
42,185,935.