What is the 3346th prime number?
The 3346th prime number is 31063. The next prime is 31069 (a gap of 6) and the one before is 31051.
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 3346th one is 31063.
- 2
31063 is prime because no prime up to ā31063 ā 176.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3346th prime is close to 3346 Ć ln(3346) ā 27155, and here it is 31063.
- 4
31063 has no twin: neither 31061 nor 31065 is prime.
Primes around the 3346th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3343 | 31033 | 14 |
| 3344 | 31039 | 6 |
| 3345 | 31051 | 12 |
| 3346 | 31063 | 12 |
| 3347 | 31069 | 6 |
| 3348 | 31079 | 10 |
| 3349 | 31081 | 2 |
Questions
What is the 3346th prime number?
31063.
Which prime number is 31063?
31063 is the 3346th prime number.
What is the sum of the first 3346 primes?
48,759,211.