What is the 6874th prime number?
The 6874th prime number is 69221. The next prime is 69233 (a gap of 12) and the one before is 69203.
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 6874th one is 69221.
- 2
69221 is prime because no prime up to ā69221 ā 263.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6874th prime is close to 6874 Ć ln(6874) ā 60735, and here it is 69221.
- 4
69221 has no twin: neither 69219 nor 69223 is prime.
Primes around the 6874th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6871 | 69193 | 2 |
| 6872 | 69197 | 4 |
| 6873 | 69203 | 6 |
| 6874 | 69221 | 18 |
| 6875 | 69233 | 12 |
| 6876 | 69239 | 6 |
| 6877 | 69247 | 8 |
Questions
What is the 6874th prime number?
69221.
Which prime number is 69221?
69221 is the 6874th prime number.
What is the sum of the first 6874 primes?
224,644,605.