What is the 3145th prime number?
The 3145th prime number is 28879. The next prime is 28901 (a gap of 22) and the one before is 28871.
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 3145th one is 28879.
- 2
28879 is prime because no prime up to ā28879 ā 169.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3145th prime is close to 3145 Ć ln(3145) ā 25328, and here it is 28879.
- 4
28879 has no twin: neither 28877 nor 28881 is prime.
Primes around the 3145th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3142 | 28859 | 16 |
| 3143 | 28867 | 8 |
| 3144 | 28871 | 4 |
| 3145 | 28879 | 8 |
| 3146 | 28901 | 22 |
| 3147 | 28909 | 8 |
| 3148 | 28921 | 12 |
Questions
What is the 3145th prime number?
28879.
Which prime number is 28879?
28879 is the 3145th prime number.
What is the sum of the first 3145 primes?
42,733,010.