What is the 3041st prime number?
The 3041st prime number is 27847. The next prime is 27851 (a gap of 4) and the one before is 27827.
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 3041st one is 27847.
- 2
27847 is prime because no prime up to ā27847 ā 166.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3041st prime is close to 3041 Ć ln(3041) ā 24389, and here it is 27847.
- 4
27847 has no twin: neither 27845 nor 27849 is prime.
Primes around the 3041st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3038 | 27817 | 8 |
| 3039 | 27823 | 6 |
| 3040 | 27827 | 4 |
| 3041 | 27847 | 20 |
| 3042 | 27851 | 4 |
| 3043 | 27883 | 32 |
| 3044 | 27893 | 10 |
Questions
What is the 3041st prime number?
27847.
Which prime number is 27847?
27847 is the 3041st prime number.
What is the sum of the first 3041 primes?
39,779,928.