What is the 3119th prime number?
The 3119th prime number is 28643. The next prime is 28649 (a gap of 6) and the one before is 28631.
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 3119th one is 28643.
- 2
28643 is prime because no prime up to ā28643 ā 169.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3119th prime is close to 3119 Ć ln(3119) ā 25093, and here it is 28643.
- 4
28643 has no twin: neither 28641 nor 28645 is prime.
Primes around the 3119th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3116 | 28621 | 2 |
| 3117 | 28627 | 6 |
| 3118 | 28631 | 4 |
| 3119 | 28643 | 12 |
| 3120 | 28649 | 6 |
| 3121 | 28657 | 8 |
| 3122 | 28661 | 4 |
Questions
What is the 3119th prime number?
28643.
Which prime number is 28643?
28643 is the 3119th prime number.
What is the sum of the first 3119 primes?
41,985,252.