What is the 3036th prime number?
The 3036th prime number is 27803. The next prime is 27809 (a gap of 6) and the one before is 27799.
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 3036th one is 27803.
- 2
27803 is prime because no prime up to ā27803 ā 166.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3036th prime is close to 3036 Ć ln(3036) ā 24344, and here it is 27803.
- 4
27803 has no twin: neither 27801 nor 27805 is prime.
Primes around the 3036th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3033 | 27791 | 12 |
| 3034 | 27793 | 2 |
| 3035 | 27799 | 6 |
| 3036 | 27803 | 4 |
| 3037 | 27809 | 6 |
| 3038 | 27817 | 8 |
| 3039 | 27823 | 6 |
Questions
What is the 3036th prime number?
27803.
Which prime number is 27803?
27803 is the 3036th prime number.
What is the sum of the first 3036 primes?
39,640,805.