What is the 6047th prime number?
The 6047th prime number is 59833. The next prime is 59863 (a gap of 30) and the one before is 59809.
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 6047th one is 59833.
- 2
59833 is prime because no prime up to ā59833 ā 244.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6047th prime is close to 6047 Ć ln(6047) ā 52653, and here it is 59833.
- 4
59833 has no twin: neither 59831 nor 59835 is prime.
Primes around the 6047th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6044 | 59791 | 12 |
| 6045 | 59797 | 6 |
| 6046 | 59809 | 12 |
| 6047 | 59833 | 24 |
| 6048 | 59863 | 30 |
| 6049 | 59879 | 16 |
| 6050 | 59887 | 8 |
Questions
What is the 6047th prime number?
59833.
Which prime number is 59833?
59833 is the 6047th prime number.
What is the sum of the first 6047 primes?
171,249,400.