What is the 3144th prime number?
The 3144th prime number is 28871. The next prime is 28879 (a gap of 8) and the one before is 28867.
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 3144th one is 28871.
- 2
28871 is prime because no prime up to ā28871 ā 169.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3144th prime is close to 3144 Ć ln(3144) ā 25319, and here it is 28871.
- 4
28871 has no twin: neither 28869 nor 28873 is prime.
Primes around the 3144th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3141 | 28843 | 6 |
| 3142 | 28859 | 16 |
| 3143 | 28867 | 8 |
| 3144 | 28871 | 4 |
| 3145 | 28879 | 8 |
| 3146 | 28901 | 22 |
| 3147 | 28909 | 8 |
Questions
What is the 3144th prime number?
28871.
Which prime number is 28871?
28871 is the 3144th prime number.
What is the sum of the first 3144 primes?
42,704,131.