What is the 3141st prime number?
The 3141st prime number is 28843. The next prime is 28859 (a gap of 16) and the one before is 28837.
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 3141st one is 28843.
- 2
28843 is prime because no prime up to ā28843 ā 169.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3141st prime is close to 3141 Ć ln(3141) ā 25292, and here it is 28843.
- 4
28843 has no twin: neither 28841 nor 28845 is prime.
Primes around the 3141st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3138 | 28813 | 6 |
| 3139 | 28817 | 4 |
| 3140 | 28837 | 20 |
| 3141 | 28843 | 6 |
| 3142 | 28859 | 16 |
| 3143 | 28867 | 8 |
| 3144 | 28871 | 4 |
Questions
What is the 3141st prime number?
28843.
Which prime number is 28843?
28843 is the 3141st prime number.
What is the sum of the first 3141 primes?
42,617,534.