What is the 3311th prime number?
The 3311th prime number is 30697. The next prime is 30703 (a gap of 6) and the one before is 30689.
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 3311th one is 30697.
- 2
30697 is prime because no prime up to ā30697 ā 175.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3311th prime is close to 3311 Ć ln(3311) ā 26836, and here it is 30697.
- 4
30697 has no twin: neither 30695 nor 30699 is prime.
Primes around the 3311th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3308 | 30671 | 10 |
| 3309 | 30677 | 6 |
| 3310 | 30689 | 12 |
| 3311 | 30697 | 8 |
| 3312 | 30703 | 6 |
| 3313 | 30707 | 4 |
| 3314 | 30713 | 6 |
Questions
What is the 3311th prime number?
30697.
Which prime number is 30697?
30697 is the 3311th prime number.
What is the sum of the first 3311 primes?
47,678,454.