What is the 3112th prime number?
The 3112th prime number is 28597. The next prime is 28603 (a gap of 6) and the one before is 28591.
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 3112th one is 28597.
- 2
28597 is prime because no prime up to ā28597 ā 169.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3112th prime is close to 3112 Ć ln(3112) ā 25030, and here it is 28597.
- 4
28597 has no twin: neither 28595 nor 28599 is prime.
Primes around the 3112th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3109 | 28573 | 2 |
| 3110 | 28579 | 6 |
| 3111 | 28591 | 12 |
| 3112 | 28597 | 6 |
| 3113 | 28603 | 6 |
| 3114 | 28607 | 4 |
| 3115 | 28619 | 12 |
Questions
What is the 3112th prime number?
28597.
Which prime number is 28597?
28597 is the 3112th prime number.
What is the sum of the first 3112 primes?
41,784,901.