What is the 3146th prime number?
The 3146th prime number is 28901. The next prime is 28909 (a gap of 8) and the one before is 28879.
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 3146th one is 28901.
- 2
28901 is prime because no prime up to ā28901 ā 170.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3146th prime is close to 3146 Ć ln(3146) ā 25338, and here it is 28901.
- 4
28901 has no twin: neither 28899 nor 28903 is prime.
Primes around the 3146th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3143 | 28867 | 8 |
| 3144 | 28871 | 4 |
| 3145 | 28879 | 8 |
| 3146 | 28901 | 22 |
| 3147 | 28909 | 8 |
| 3148 | 28921 | 12 |
| 3149 | 28927 | 6 |
Questions
What is the 3146th prime number?
28901.
Which prime number is 28901?
28901 is the 3146th prime number.
What is the sum of the first 3146 primes?
42,761,911.