What is the 3042nd prime number?
The 3042nd prime number is 27851. The next prime is 27883 (a gap of 32) and the one before is 27847.
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 3042nd one is 27851.
- 2
27851 is prime because no prime up to ā27851 ā 166.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3042nd prime is close to 3042 Ć ln(3042) ā 24398, and here it is 27851.
- 4
27851 has no twin: neither 27849 nor 27853 is prime.
Primes around the 3042nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3039 | 27823 | 6 |
| 3040 | 27827 | 4 |
| 3041 | 27847 | 20 |
| 3042 | 27851 | 4 |
| 3043 | 27883 | 32 |
| 3044 | 27893 | 10 |
| 3045 | 27901 | 8 |
Questions
What is the 3042nd prime number?
27851.
Which prime number is 27851?
27851 is the 3042nd prime number.
What is the sum of the first 3042 primes?
39,807,779.