What is the 6877th prime number?
The 6877th prime number is 69247. The next prime is 69257 (a gap of 10) and the one before is 69239.
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 6877th one is 69247.
- 2
69247 is prime because no prime up to ā69247 ā 263.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6877th prime is close to 6877 Ć ln(6877) ā 60765, and here it is 69247.
- 4
69247 has no twin: neither 69245 nor 69249 is prime.
Primes around the 6877th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6874 | 69221 | 18 |
| 6875 | 69233 | 12 |
| 6876 | 69239 | 6 |
| 6877 | 69247 | 8 |
| 6878 | 69257 | 10 |
| 6879 | 69259 | 2 |
| 6880 | 69263 | 4 |
Questions
What is the 6877th prime number?
69247.
Which prime number is 69247?
69247 is the 6877th prime number.
What is the sum of the first 6877 primes?
224,852,324.