What is the 3150th prime number?
The 3150th prime number is 28933. The next prime is 28949 (a gap of 16) and the one before is 28927.
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 3150th one is 28933.
- 2
28933 is prime because no prime up to ā28933 ā 170.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3150th prime is close to 3150 Ć ln(3150) ā 25374, and here it is 28933.
- 4
28933 has no twin: neither 28931 nor 28935 is prime.
Primes around the 3150th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3147 | 28909 | 8 |
| 3148 | 28921 | 12 |
| 3149 | 28927 | 6 |
| 3150 | 28933 | 6 |
| 3151 | 28949 | 16 |
| 3152 | 28961 | 12 |
| 3153 | 28979 | 18 |
Questions
What is the 3150th prime number?
28933.
Which prime number is 28933?
28933 is the 3150th prime number.
What is the sum of the first 3150 primes?
42,877,601.