What is the 3138th prime number?
The 3138th prime number is 28813. The next prime is 28817 (a gap of 4) and the one before is 28807.
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 3138th one is 28813.
- 2
28813 is prime because no prime up to ā28813 ā 169.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3138th prime is close to 3138 Ć ln(3138) ā 25265, and here it is 28813.
- 4
28813 has no twin: neither 28811 nor 28815 is prime.
Primes around the 3138th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3135 | 28789 | 18 |
| 3136 | 28793 | 4 |
| 3137 | 28807 | 14 |
| 3138 | 28813 | 6 |
| 3139 | 28817 | 4 |
| 3140 | 28837 | 20 |
| 3141 | 28843 | 6 |
Questions
What is the 3138th prime number?
28813.
Which prime number is 28813?
28813 is the 3138th prime number.
What is the sum of the first 3138 primes?
42,531,037.