What is the 3110th prime number?
The 3110th prime number is 28579. The next prime is 28591 (a gap of 12) and the one before is 28573.
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 3110th one is 28579.
- 2
28579 is prime because no prime up to ā28579 ā 169.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3110th prime is close to 3110 Ć ln(3110) ā 25012, and here it is 28579.
- 4
28579 has no twin: neither 28577 nor 28581 is prime.
Primes around the 3110th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3107 | 28559 | 10 |
| 3108 | 28571 | 12 |
| 3109 | 28573 | 2 |
| 3110 | 28579 | 6 |
| 3111 | 28591 | 12 |
| 3112 | 28597 | 6 |
| 3113 | 28603 | 6 |
Questions
What is the 3110th prime number?
28579.
Which prime number is 28579?
28579 is the 3110th prime number.
What is the sum of the first 3110 primes?
41,727,713.