What is the 3140th prime number?
The 3140th prime number is 28837. The next prime is 28843 (a gap of 6) and the one before is 28817.
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 3140th one is 28837.
- 2
28837 is prime because no prime up to ā28837 ā 169.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3140th prime is close to 3140 Ć ln(3140) ā 25283, and here it is 28837.
- 4
28837 has no twin: neither 28835 nor 28839 is prime.
Primes around the 3140th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3137 | 28807 | 14 |
| 3138 | 28813 | 6 |
| 3139 | 28817 | 4 |
| 3140 | 28837 | 20 |
| 3141 | 28843 | 6 |
| 3142 | 28859 | 16 |
| 3143 | 28867 | 8 |
Questions
What is the 3140th prime number?
28837.
Which prime number is 28837?
28837 is the 3140th prime number.
What is the sum of the first 3140 primes?
42,588,691.