What is the 3128th prime number?
The 3128th prime number is 28711. The next prime is 28723 (a gap of 12) and the one before is 28703.
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 3128th one is 28711.
- 2
28711 is prime because no prime up to ā28711 ā 169.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3128th prime is close to 3128 Ć ln(3128) ā 25175, and here it is 28711.
- 4
28711 has no twin: neither 28709 nor 28713 is prime.
Primes around the 3128th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3125 | 28687 | 18 |
| 3126 | 28697 | 10 |
| 3127 | 28703 | 6 |
| 3128 | 28711 | 8 |
| 3129 | 28723 | 12 |
| 3130 | 28729 | 6 |
| 3131 | 28751 | 22 |
Questions
What is the 3128th prime number?
28711.
Which prime number is 28711?
28711 is the 3128th prime number.
What is the sum of the first 3128 primes?
42,243,349.