What is the 6038th prime number?
The 6038th prime number is 59729. The next prime is 59743 (a gap of 14) and the one before is 59723.
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 6038th one is 59729.
- 2
59729 is prime because no prime up to ā59729 ā 244.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6038th prime is close to 6038 Ć ln(6038) ā 52566, and here it is 59729.
- 4
59729 has no twin: neither 59727 nor 59731 is prime.
Primes around the 6038th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6035 | 59699 | 6 |
| 6036 | 59707 | 8 |
| 6037 | 59723 | 16 |
| 6038 | 59729 | 6 |
| 6039 | 59743 | 14 |
| 6040 | 59747 | 4 |
| 6041 | 59753 | 6 |
Questions
What is the 6038th prime number?
59729.
Which prime number is 59729?
59729 is the 6038th prime number.
What is the sum of the first 6038 primes?
170,711,377.