What is the 3347th prime number?
The 3347th prime number is 31069. The next prime is 31079 (a gap of 10) and the one before is 31063.
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 3347th one is 31069.
- 2
31069 is prime because no prime up to ā31069 ā 176.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3347th prime is close to 3347 Ć ln(3347) ā 27164, and here it is 31069.
- 4
31069 has no twin: neither 31067 nor 31071 is prime.
Primes around the 3347th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3344 | 31039 | 6 |
| 3345 | 31051 | 12 |
| 3346 | 31063 | 12 |
| 3347 | 31069 | 6 |
| 3348 | 31079 | 10 |
| 3349 | 31081 | 2 |
| 3350 | 31091 | 10 |
Questions
What is the 3347th prime number?
31069.
Which prime number is 31069?
31069 is the 3347th prime number.
What is the sum of the first 3347 primes?
48,790,280.