What is the 6046th prime number?
The 6046th prime number is 59809. The next prime is 59833 (a gap of 24) and the one before is 59797.
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 6046th one is 59809.
- 2
59809 is prime because no prime up to ā59809 ā 244.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6046th prime is close to 6046 Ć ln(6046) ā 52643, and here it is 59809.
- 4
59809 has no twin: neither 59807 nor 59811 is prime.
Primes around the 6046th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6043 | 59779 | 8 |
| 6044 | 59791 | 12 |
| 6045 | 59797 | 6 |
| 6046 | 59809 | 12 |
| 6047 | 59833 | 24 |
| 6048 | 59863 | 30 |
| 6049 | 59879 | 16 |
Questions
What is the 6046th prime number?
59809.
Which prime number is 59809?
59809 is the 6046th prime number.
What is the sum of the first 6046 primes?
171,189,567.