What is the 3320th prime number?
The 3320th prime number is 30803. The next prime is 30809 (a gap of 6) and the one before is 30781.
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 3320th one is 30803.
- 2
30803 is prime because no prime up to ā30803 ā 175.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3320th prime is close to 3320 Ć ln(3320) ā 26918, and here it is 30803.
- 4
30803 has no twin: neither 30801 nor 30805 is prime.
Primes around the 3320th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3317 | 30763 | 6 |
| 3318 | 30773 | 10 |
| 3319 | 30781 | 8 |
| 3320 | 30803 | 22 |
| 3321 | 30809 | 6 |
| 3322 | 30817 | 8 |
| 3323 | 30829 | 12 |
Questions
What is the 3320th prime number?
30803.
Which prime number is 30803?
30803 is the 3320th prime number.
What is the sum of the first 3320 primes?
47,955,181.