What is the 3345th prime number?
The 3345th prime number is 31051. The next prime is 31063 (a gap of 12) and the one before is 31039.
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 3345th one is 31051.
- 2
31051 is prime because no prime up to ā31051 ā 176.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3345th prime is close to 3345 Ć ln(3345) ā 27145, and here it is 31051.
- 4
31051 has no twin: neither 31049 nor 31053 is prime.
Primes around the 3345th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3342 | 31019 | 6 |
| 3343 | 31033 | 14 |
| 3344 | 31039 | 6 |
| 3345 | 31051 | 12 |
| 3346 | 31063 | 12 |
| 3347 | 31069 | 6 |
| 3348 | 31079 | 10 |
Questions
What is the 3345th prime number?
31051.
Which prime number is 31051?
31051 is the 3345th prime number.
What is the sum of the first 3345 primes?
48,728,148.