What is the 3035th prime number?
The 3035th prime number is 27799. The next prime is 27803 (a gap of 4) and the one before is 27793.
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 3035th one is 27799.
- 2
27799 is prime because no prime up to ā27799 ā 166.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3035th prime is close to 3035 Ć ln(3035) ā 24335, and here it is 27799.
- 4
27799 has no twin: neither 27797 nor 27801 is prime.
Primes around the 3035th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3032 | 27779 | 6 |
| 3033 | 27791 | 12 |
| 3034 | 27793 | 2 |
| 3035 | 27799 | 6 |
| 3036 | 27803 | 4 |
| 3037 | 27809 | 6 |
| 3038 | 27817 | 8 |
Questions
What is the 3035th prime number?
27799.
Which prime number is 27799?
27799 is the 3035th prime number.
What is the sum of the first 3035 primes?
39,613,002.