What is the 6048th prime number?
The 6048th prime number is 59863. The next prime is 59879 (a gap of 16) and the one before is 59833.
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 6048th one is 59863.
- 2
59863 is prime because no prime up to ā59863 ā 244.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6048th prime is close to 6048 Ć ln(6048) ā 52663, and here it is 59863.
- 4
59863 has no twin: neither 59861 nor 59865 is prime.
Primes around the 6048th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6045 | 59797 | 6 |
| 6046 | 59809 | 12 |
| 6047 | 59833 | 24 |
| 6048 | 59863 | 30 |
| 6049 | 59879 | 16 |
| 6050 | 59887 | 8 |
| 6051 | 59921 | 34 |
Questions
What is the 6048th prime number?
59863.
Which prime number is 59863?
59863 is the 6048th prime number.
What is the sum of the first 6048 primes?
171,309,263.