What is the 3116th prime number?
The 3116th prime number is 28621. The next prime is 28627 (a gap of 6) and the one before is 28619.
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 3116th one is 28621.
- 2
28621 is prime because no prime up to ā28621 ā 169.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3116th prime is close to 3116 Ć ln(3116) ā 25066, and here it is 28621.
- 4
28621 is a twin prime: 28619 and 28621 are both prime.
Primes around the 3116th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3113 | 28603 | 6 |
| 3114 | 28607 | 4 |
| 3115 | 28619 | 12 |
| 3116 | 28621 | 2 |
| 3117 | 28627 | 6 |
| 3118 | 28631 | 4 |
| 3119 | 28643 | 12 |
Questions
What is the 3116th prime number?
28621.
Which prime number is 28621?
28621 is the 3116th prime number.
What is the sum of the first 3116 primes?
41,899,351.