What is the 3117th prime number?
The 3117th prime number is 28627. The next prime is 28631 (a gap of 4) and the one before is 28621.
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 3117th one is 28627.
- 2
28627 is prime because no prime up to ā28627 ā 169.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3117th prime is close to 3117 Ć ln(3117) ā 25075, and here it is 28627.
- 4
28627 has no twin: neither 28625 nor 28629 is prime.
Primes around the 3117th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3114 | 28607 | 4 |
| 3115 | 28619 | 12 |
| 3116 | 28621 | 2 |
| 3117 | 28627 | 6 |
| 3118 | 28631 | 4 |
| 3119 | 28643 | 12 |
| 3120 | 28649 | 6 |
Questions
What is the 3117th prime number?
28627.
Which prime number is 28627?
28627 is the 3117th prime number.
What is the sum of the first 3117 primes?
41,927,978.