What is the 6036th prime number?
The 6036th prime number is 59707. The next prime is 59723 (a gap of 16) and the one before is 59699.
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 6036th one is 59707.
- 2
59707 is prime because no prime up to ā59707 ā 244.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6036th prime is close to 6036 Ć ln(6036) ā 52546, and here it is 59707.
- 4
59707 has no twin: neither 59705 nor 59709 is prime.
Primes around the 6036th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6033 | 59671 | 2 |
| 6034 | 59693 | 22 |
| 6035 | 59699 | 6 |
| 6036 | 59707 | 8 |
| 6037 | 59723 | 16 |
| 6038 | 59729 | 6 |
| 6039 | 59743 | 14 |
Questions
What is the 6036th prime number?
59707.
Which prime number is 59707?
59707 is the 6036th prime number.
What is the sum of the first 6036 primes?
170,591,925.