What is the 3109th prime number?
The 3109th prime number is 28573. The next prime is 28579 (a gap of 6) and the one before is 28571.
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 3109th one is 28573.
- 2
28573 is prime because no prime up to ā28573 ā 169.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3109th prime is close to 3109 Ć ln(3109) ā 25003, and here it is 28573.
- 4
28573 is a twin prime: 28571 and 28573 are both prime.
Primes around the 3109th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3106 | 28549 | 2 |
| 3107 | 28559 | 10 |
| 3108 | 28571 | 12 |
| 3109 | 28573 | 2 |
| 3110 | 28579 | 6 |
| 3111 | 28591 | 12 |
| 3112 | 28597 | 6 |
Questions
What is the 3109th prime number?
28573.
Which prime number is 28573?
28573 is the 3109th prime number.
What is the sum of the first 3109 primes?
41,699,134.