What is the 3148th prime number?
The 3148th prime number is 28921. The next prime is 28927 (a gap of 6) and the one before is 28909.
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 3148th one is 28921.
- 2
28921 is prime because no prime up to ā28921 ā 170.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3148th prime is close to 3148 Ć ln(3148) ā 25356, and here it is 28921.
- 4
28921 has no twin: neither 28919 nor 28923 is prime.
Primes around the 3148th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3145 | 28879 | 8 |
| 3146 | 28901 | 22 |
| 3147 | 28909 | 8 |
| 3148 | 28921 | 12 |
| 3149 | 28927 | 6 |
| 3150 | 28933 | 6 |
| 3151 | 28949 | 16 |
Questions
What is the 3148th prime number?
28921.
Which prime number is 28921?
28921 is the 3148th prime number.
What is the sum of the first 3148 primes?
42,819,741.