What is the 3118th prime number?
The 3118th prime number is 28631. The next prime is 28643 (a gap of 12) and the one before is 28627.
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 3118th one is 28631.
- 2
28631 is prime because no prime up to ā28631 ā 169.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3118th prime is close to 3118 Ć ln(3118) ā 25084, and here it is 28631.
- 4
28631 has no twin: neither 28629 nor 28633 is prime.
Primes around the 3118th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3115 | 28619 | 12 |
| 3116 | 28621 | 2 |
| 3117 | 28627 | 6 |
| 3118 | 28631 | 4 |
| 3119 | 28643 | 12 |
| 3120 | 28649 | 6 |
| 3121 | 28657 | 8 |
Questions
What is the 3118th prime number?
28631.
Which prime number is 28631?
28631 is the 3118th prime number.
What is the sum of the first 3118 primes?
41,956,609.