What is the 3149th prime number?
The 3149th prime number is 28927. The next prime is 28933 (a gap of 6) and the one before is 28921.
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 3149th one is 28927.
- 2
28927 is prime because no prime up to ā28927 ā 170.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3149th prime is close to 3149 Ć ln(3149) ā 25365, and here it is 28927.
- 4
28927 has no twin: neither 28925 nor 28929 is prime.
Primes around the 3149th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3146 | 28901 | 22 |
| 3147 | 28909 | 8 |
| 3148 | 28921 | 12 |
| 3149 | 28927 | 6 |
| 3150 | 28933 | 6 |
| 3151 | 28949 | 16 |
| 3152 | 28961 | 12 |
Questions
What is the 3149th prime number?
28927.
Which prime number is 28927?
28927 is the 3149th prime number.
What is the sum of the first 3149 primes?
42,848,668.