What is the 3135th prime number?
The 3135th prime number is 28789. The next prime is 28793 (a gap of 4) and the one before is 28771.
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 3135th one is 28789.
- 2
28789 is prime because no prime up to ā28789 ā 169.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3135th prime is close to 3135 Ć ln(3135) ā 25238, and here it is 28789.
- 4
28789 has no twin: neither 28787 nor 28791 is prime.
Primes around the 3135th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3132 | 28753 | 2 |
| 3133 | 28759 | 6 |
| 3134 | 28771 | 12 |
| 3135 | 28789 | 18 |
| 3136 | 28793 | 4 |
| 3137 | 28807 | 14 |
| 3138 | 28813 | 6 |
Questions
What is the 3135th prime number?
28789.
Which prime number is 28789?
28789 is the 3135th prime number.
What is the sum of the first 3135 primes?
42,444,624.