What is the 3317th prime number?
The 3317th prime number is 30763. The next prime is 30773 (a gap of 10) and the one before is 30757.
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 3317th one is 30763.
- 2
30763 is prime because no prime up to ā30763 ā 175.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3317th prime is close to 3317 Ć ln(3317) ā 26890, and here it is 30763.
- 4
30763 has no twin: neither 30761 nor 30765 is prime.
Primes around the 3317th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3314 | 30713 | 6 |
| 3315 | 30727 | 14 |
| 3316 | 30757 | 30 |
| 3317 | 30763 | 6 |
| 3318 | 30773 | 10 |
| 3319 | 30781 | 8 |
| 3320 | 30803 | 22 |
Questions
What is the 3317th prime number?
30763.
Which prime number is 30763?
30763 is the 3317th prime number.
What is the sum of the first 3317 primes?
47,862,824.