What is the 3147th prime number?
The 3147th prime number is 28909. The next prime is 28921 (a gap of 12) and the one before is 28901.
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 3147th one is 28909.
- 2
28909 is prime because no prime up to ā28909 ā 170.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3147th prime is close to 3147 Ć ln(3147) ā 25347, and here it is 28909.
- 4
28909 has no twin: neither 28907 nor 28911 is prime.
Primes around the 3147th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3144 | 28871 | 4 |
| 3145 | 28879 | 8 |
| 3146 | 28901 | 22 |
| 3147 | 28909 | 8 |
| 3148 | 28921 | 12 |
| 3149 | 28927 | 6 |
| 3150 | 28933 | 6 |
Questions
What is the 3147th prime number?
28909.
Which prime number is 28909?
28909 is the 3147th prime number.
What is the sum of the first 3147 primes?
42,790,820.