What is the 3012th prime number?
The 3012th prime number is 27583. The next prime is 27611 (a gap of 28) and the one before is 27581.
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 3012th one is 27583.
- 2
27583 is prime because no prime up to ā27583 ā 166.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3012th prime is close to 3012 Ć ln(3012) ā 24127, and here it is 27583.
- 4
27583 is a twin prime: 27581 and 27583 are both prime.
Primes around the 3012th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3009 | 27541 | 2 |
| 3010 | 27551 | 10 |
| 3011 | 27581 | 30 |
| 3012 | 27583 | 2 |
| 3013 | 27611 | 28 |
| 3014 | 27617 | 6 |
| 3015 | 27631 | 14 |
Questions
What is the 3012th prime number?
27583.
Which prime number is 27583?
27583 is the 3012th prime number.
What is the sum of the first 3012 primes?
38,975,475.