What is the 3351st prime number?
The 3351st prime number is 31121. The next prime is 31123 (a gap of 2) and the one before is 31091.
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 3351st one is 31121.
- 2
31121 is prime because no prime up to ā31121 ā 176.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3351st prime is close to 3351 Ć ln(3351) ā 27200, and here it is 31121.
- 4
31121 is a twin prime: 31121 and 31123 are both prime.
Primes around the 3351st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3348 | 31079 | 10 |
| 3349 | 31081 | 2 |
| 3350 | 31091 | 10 |
| 3351 | 31121 | 30 |
| 3352 | 31123 | 2 |
| 3353 | 31139 | 16 |
| 3354 | 31147 | 8 |
Questions
What is the 3351st prime number?
31121.
Which prime number is 31121?
31121 is the 3351st prime number.
What is the sum of the first 3351 primes?
48,914,652.